All the answers are subtracting by a multiple of pi. Which means that they are subtracting by the area of the quarter circles, so it has to be the inner area that they're referring to.
There’s shaded region but they’re aren’t showing you here 💀 it says “shaded” so something must be shaded, if not, then it contradicts the question, which, in this case won’t be in the sat.
That's what I'm saying. I'm starting to think these videos say "99% fail" for the same reason mobile game ads do: to make you feel better. Not to dunk on anyone who didn't know; you'd just need to know the area of a circle to do it.
"Oh man! These SATs are so hard! How could I POSSIBLY pass them all!?" The star looking shape on one of the questions that could magically *save* your progress:
You can also see this as a full circle with a radius of 3 (i.e. a diameter of 6), and a square of 6 by 6 around the circle. This makes it way easier to visualise the problem.
I remember getting a similar question (with a real shaded region) during SAT prep and it was actually an easy question. Teacher didn't have to explain it, everyone got it correct. Speaking as someone who got 1360.
well to those of you saying no shaded regions. I admit the question is wrong but you can say which part they are referring to just by seeing the options
Okay so we had this in a simple math test in tenth grade, it's one of the easiest sums, also there is a formula for that weird quarter circle(it's called a sector) which is (theta/360 ) × πr²
Assuming the arcs are quarter circles within a square thiscisca ver y easy problem. Square of 6 units 36 square units. 4 quarter circles make one while circles of area 3²pi Central area is 36 - 9 pi
the only shaded parts are the marginal lines of the geometric shape. So the shaded region will be the the perimeters of the square and quad circles . And the ans will be option Z)24+12π.
alright assuming shaded regions is the black outline. side of square = 3+3=6 perimeter of square=4*6=24 length of curve = 4* quarter of a circle = 1 circle = 2*pi*r=6pi thus area of shaded region =24+6pi
Or we can also say that the 4 corners are making a circle so the area of the 4 corners is π×3²= 9π and the area of the square is 36 The answers is 36 - 9π 😊
Answer C is the area of the star-shaped region in the middle. And C is the only one of options that represents the area of any of the regions (or any combination of regions) in the diagram. But unless it's very faint, I don't see any shading...
First: There is no shaded region Second: We cant assume that the vertices of the quadrilateral(also we cannot assume its a square) is the center of the circle which the arc is a part of. In the video itself, the the circle is shown which the arc is a part of and clearly, the vertice of the quadrilateral is not the center. Hence we cannot calculate the side to be 6cm. This questions has way too many errors
We know the quadrilateral i's a square. It obviously has four sides of equal length, and whilst the angles are not explicitly marked as 90 degrees, we know they must be 90 degrees. If the arcs (which all have the same radius) were covering some angle other than 90 degrees then neighbouring arcs would not meet at a point like that. Obviously the omission of any shading is a glaring error though!
Just beacuse it looks ¼ of a circle you can't assume it IS ¼ it is no where given in the question also there no where written that the corners are the centre of the circle hence you CAN'T assume it to be one and thus the part of the line being 3!
By logic The shaded region should be the center or the 4 quarters of circle. It cant be the 4 quarter circles bcs their area is 9pi and its not in the answers so it has to be the center so the area is 36 -9pi and great this answer is in the answers !
And if you solve it numerically by putting the value of pie and subtracting the area of square and area of all the four arc then the area of the diamond will be 5.4
you have 4 equal arcs making up a circle with the radius of 3 and the total area of the square being 6^2 which is 36 pi x r^2 = 9pi ans is C 36-9pi this is really easy also, it was never mentioned that this shape was a square and the arcs were fourth of a circle 😹 and also, out of this problem, you can find the formula for a diamond 4r² - πr², whereas the radius is the distance from the middle of the diamond to the furthest point from its centre
Or, say that because each angle of the square is 90 degrees, you can say each arc has an area of 90/360 * (pi * 3^2), which would equal to 1/4 of the entire circle.
If the diamond is the shaded region then the question is a fairly easy one .....we did these types of Problems in 10th standard. U can use integration if u are fairly professional in calculus
The arcs aren't circles if you look closely ans that arc is definitely not ¼circle, its more because it doesn't evn go through the center. But if it didn't matter youwould be correct, but there is no shaded region even to calculate the area of
well we know each of the segments is 3 and the big lines are 6 and using PI*R(squared) we can tell that the total area of all slopes combine is 9*PI then we subtract that from the total area 36 and get C (i havent watched the video )
In maths let's just assume, it could be inside area, which is shahded or the four quater circles. Then, answer could be 9pi or 36-9pi. Those who are commenting, there is no shaded area, congrats, you are not passing the SATs.
They never said the arc is a quarter circle nor did they confirm the square's side length. So the square could be way too small or way too big because we don't have confirmation that the center of each circle is the point at the end of the square
Correct answer would be to not answer any of the alternatives, as there is no shaded regoin its = 0 sq units, none of the alternatives ... its the only way u can score all points on this question ..
isnt there a formula for area of shaded region:in radians half radius squared theta or in degrees:theta by 360 into pi r squared?Pretty sure its applicable here.Take theta as 90 ofc. 90/360 into pi (3)^2. 1/4 into 9 pi that into 4 becomes 9 pi there 36 - 9 pi Simple.
Beside the lack of shading, it is not given that the arcs are full quarter circles. The centres of those circles can lie outside the square, kinda like the full circles were drawn in this video 😅
The thing is the above figure is a square cuz the radius is of the arcs are equal at all points from a common center therefore there fore all sides are 2r second is if the radius of a figure is equal and there are four common figures there fore joining the 4 figures with equal r makes 2 diameteres (vertic and horizon) if thats the case and we know all points on the are when joined to a common centre are equal therefore it is a quadrant(my explanation is hotchpotch so yeh go watch a video or open ur maths book)
Dude... first of all this thing has no shaded regions. Second, the shapes this girl calls 'pizza pie' is called a SECTOR which is a part of the circle. A sector has its own formula of finding the angle which is [ θ/360° × πr²] where theta is the angle subtended by at the centre by the two radii of the circle, in this case 90 degree.
How do we know that those areas is 1/4 of the circle, what if we extent the circle out and then they intersect with the other circles, that would mean their radius is bigger
Girllllllll ! In India, we solve these type of questions from grade 7-8. This seems like a piece of cake. But I agree that the question is wrong / incomplete.
Lemme explain this shi easier Were assuming that the shaded region is that diamond shape Area of shaded region : Area of square - are of arcs Area of square : s² = 6² = 36 Area of an arc : ¼πr² Since there is 4 arcs, times 4 4 × ¼ × π × 3² Cancel out the 4's 9π So, its 36 - 9π, C. Why so complicated?
You're told the radius, so you can calculate the area of each of the quarter circles. And the side length of the square is just double the radius of the arcs, so you can calculate the area of the square. All you need then is for the question to actually shade some part of the diagram!
Most people study this in junior high or middle school, right? Anywho, I was confused because there's no shaded region, but given the content of the answer options, I guess you can guess that they're allsking for the area of the middle section, which would ofc be 36-9π. It's just weird that they'd say there's a shaded region when there's not.
Area of arc is about 1/3 of a circle makes it bigger than 9π/3 or bigger than 3π, so it is bigger than 36-3π/4. Now what's the area of "the diamond"? Still can't figure it out?! Draw a better circle where the area of the arc has an opposite angle of 360°/4 (1/4 of a circle) or 90° first. Otherwise, it will be incorrect no matter how you calculated it. E. None of the above. And F. There's also no "shaded region" making the question invalid. G. E +F. The answer is H. G with a shaded region.
There's litteraly no shaded region in this question and even if there would have been a shaded region, this is literally a class 6 question, almost anyone can do this. I mean who doesn't know the areas of a square and a circle
the reason they got it wrong is because WHERE IS THE SHADED REGION 😭 if the shaded region was indeed shown, im sure they would have been able to answer. in my country, this is taught in grade 6 and is really easy 😓
😭 there’s literally no shaded region, how are supposed to know what it’s referring to
That's the real reason people are tricked by the question. It's unclear!!!
that's the trick
All the answers are subtracting by a multiple of pi. Which means that they are subtracting by the area of the quarter circles, so it has to be the inner area that they're referring to.
@@muhammadibrahimkhokhar655 Well spotted.
There’s shaded region but they’re aren’t showing you here 💀 it says “shaded” so something must be shaded, if not, then it contradicts the question, which, in this case won’t be in the sat.
And 100% of SAT takers don't see any shaded area
Im the 1,000th like, I feel special, but im not.
@@Xpnvh Your're special asf bro
@@kamranshahid4123 Saw the notification without context and thought that was an insult
The correct answer is E) There is no shaded area!!!!!
Lol
😎
Absolutely correct
yarr
BINGO🎉
maybe the shaded region was the friends we made along the way
So... You have no friends?
The one piece of shaded region
Rb battles helped you find the shaded area?
That’s basically schizophrenia
@@m4dgoingmad424 More like schizo-friend-ia
How they going to ask you for the area of a shaded region but not show you the shaded region?
That's the trick!
It's not the trick. Did you even watch the video?
@@Dewdrop14072 Its not a trick, its misinformation
Stop throwing shade at this problem.
@@blazerj7364😂
No region is shaded; answer is 0
nope.
@@CMANIZABALLERYou must be fun at parties
There's no option like 0
@@somnathmandal7120 You're not an out of the box type of thinker.
The shaded area are the lines that form the shapes
if this is hard stuff, then middle school math olympiad kids are einstein
Real
That's what I'm saying. I'm starting to think these videos say "99% fail" for the same reason mobile game ads do: to make you feel better. Not to dunk on anyone who didn't know; you'd just need to know the area of a circle to do it.
No wonder students from my school win like a ton of these competitions
@NeoniFanfr
literally me
theres no way 99% of sat takers get tricked by this . i mean i learnt this in 7th also , wheres the shaded region ???
Not everyone is taught that in school.
@@15jewjew The area of a square and a circle ??? Are you joking ?
@@15jewjewyou kidding right?
These are taught in standard 6 or 7 in countries like India, China, Japan and Korea.
@@sanji5856 I'm talking about the question as a whole. Never had this explanation.
@15jewjew uhuh. This is the basics. I literally am in a third world country and this is the first thing they tell you.
"Oh man! These SATs are so hard! How could I POSSIBLY pass them all!?"
The star looking shape on one of the questions that could magically *save* your progress:
You are filled with *INTEGRATION*.
I was confused because i saw no shaded region
Fr this is the only problem
Area of a sector is angle/360 ×/pi r2
You can also see this as a full circle with a radius of 3 (i.e. a diameter of 6), and a square of 6 by 6 around the circle. This makes it way easier to visualise the problem.
I remember getting a similar question (with a real shaded region) during SAT prep and it was actually an easy question. Teacher didn't have to explain it, everyone got it correct. Speaking as someone who got 1360.
well to those of you saying no shaded regions. I admit the question is wrong but you can say which part they are referring to just by seeing the options
Okay so we had this in a simple math test in tenth grade, it's one of the easiest sums, also there is a formula for that weird quarter circle(it's called a sector) which is (theta/360 ) × πr²
Although when you have four of the quarters then together they are the whole circle, so no formula required beyond πr².
You need to specify that here theta is in degrees and not in radians. If you put theta in radians, then its (theta/2π)× πr² which makes it theta.r²/2
Besides the obvious, you also can’t assume that each arc represents a quarter of a circle, nor can you assume that this is a square
One of those corners really need '_|'
Fym by that
You can do both, each sector has a radius of 3 meaning 4 equal sides of 6 centimetres, and each sector is in a corner which is obviously 90 degrees
Since each side has the vakye of 2r, it's a square, so it has a angle of 90°, which means each arc represent a quarter of a circle
@@nova.3192 you can’t know that the sides are 2r though, the corners of the square may not be the centre of the arcs
The middle diamond shape is the shaded region and the answer is 36-9pi (C)
Why? It is not shaded
@@NikodAnimations because you cannot match area of any other part from options apart from the diamond
Assuming the arcs are quarter circles within a square thiscisca ver y easy problem. Square of 6 units 36 square units.
4 quarter circles make one while circles of area 3²pi
Central area is 36 - 9 pi
Average 3rd grade math competition problem
Yeah it's not that hard i solved it in about 5 seconds
@@ŁŁŁŁŁŁŁŁŁŁŁŁŁŁŁzno you didn’t do it in 5 seconds.
Help I was going to try to solve this but can’t find the shaded region 😭😭😭
the only shaded parts are the marginal lines of the geometric shape. So the shaded region will be the the perimeters of the square and quad circles . And the ans will be option Z)24+12π.
The answer is 0. There are no shaded areas.
alright assuming shaded regions is the black outline.
side of square = 3+3=6
perimeter of square=4*6=24
length of curve = 4* quarter of a circle = 1 circle = 2*pi*r=6pi
thus area of shaded region =24+6pi
As an indian i had this exact questions in my 7th grade paper 💀
Same in Russia. 6th...8th grade (depends on school)
same in italy lol
In Iraq we did this math when we was 6 months old. We had to do abstract algebra when we turned 1. Americans are so stupid.
Please don't lie I am in 8th and I know we didn't has this question in 7th grade
Why are lying
@@RYUZAKI_0000 then either you are dumb, your school is dumb or you are not indian
Or we can also say that the 4 corners are making a circle so the area of the 4 corners is π×3²= 9π and the area of the square is 36
The answers is 36 - 9π 😊
Since only shades region are arcs and permiter of square Correct answer would be 2πr+4*6= 6π+24
Answer C is the area of the star-shaped region in the middle. And C is the only one of options that represents the area of any of the regions (or any combination of regions) in the diagram.
But unless it's very faint, I don't see any shading...
the square is the whole thing so it is not shaded, but the diamond had to be drawn inside, with a shaded pen, so the diamond is the shaded area
First: There is no shaded region
Second: We cant assume that the vertices of the quadrilateral(also we cannot assume its a square) is the center of the circle which the arc is a part of. In the video itself, the the circle is shown which the arc is a part of and clearly, the vertice of the quadrilateral is not the center. Hence we cannot calculate the side to be 6cm. This questions has way too many errors
We know the quadrilateral i's a square.
It obviously has four sides of equal length, and whilst the angles are not explicitly marked as 90 degrees, we know they must be 90 degrees. If the arcs (which all have the same radius) were covering some angle other than 90 degrees then neighbouring arcs would not meet at a point like that.
Obviously the omission of any shading is a glaring error though!
I can't, i just can't disagree more with you 😭. Your first point is right but all the others are wrong, please don't ask why 😭🤦
@@Hello_myselfhamzaY
Say you’ve never taken a test without saying you’ve never taken a test (I’m referring to some of the replies in here)
Just beacuse it looks ¼ of a circle you can't assume it IS ¼ it is no where given in the question also there no where written that the corners are the centre of the circle hence you CAN'T assume it to be one and thus the part of the line being 3!
By logic The shaded region should be the center or the 4 quarters of circle. It cant be the 4 quarter circles bcs their area is 9pi and its not in the answers so it has to be the center so the area is 36 -9pi and great this answer is in the answers !
And if you solve it numerically by putting the value of pie and subtracting the area of square and area of all the four arc then the area of the diamond will be 5.4
you have 4 equal arcs making up a circle with the radius of 3 and the total area of the square being 6^2 which is 36
pi x r^2 = 9pi
ans is C 36-9pi
this is really easy
also, it was never mentioned that this shape was a square and the arcs were fourth of a circle 😹
and also, out of this problem, you can find the formula for a diamond
4r² - πr², whereas the radius is the distance from the middle of the diamond to the furthest point from its centre
the answer is 0 because nothing is shaded 🤣
Or, say that because each angle of the square is 90 degrees, you can say each arc has an area of 90/360 * (pi * 3^2), which would equal to 1/4 of the entire circle.
If the diamond is the shaded region then the question is a fairly easy one .....we did these types of Problems in 10th standard. U can use integration if u are fairly professional in calculus
The arcs aren't circles if you look closely ans that arc is definitely not ¼circle, its more because it doesn't evn go through the center. But if it didn't matter youwould be correct, but there is no shaded region even to calculate the area of
well we know each of the segments is 3 and the big lines are 6 and using PI*R(squared) we can tell that the total area of all slopes combine is 9*PI then we subtract that from the total area 36 and get C (i havent watched the video )
You could have just subtracted the area of 4 sectors ( using the formula :
Q/360 x pi r^2 ) from the area of square ( l^2 )
4 of the arcs is just a circle, you get the side length of the square from the radius *2, so just 36- pir ^2 and r is 3
In maths let's just assume, it could be inside area, which is shahded or the four quater circles. Then, answer could be 9pi or 36-9pi. Those who are commenting, there is no shaded area, congrats, you are not passing the SATs.
Guys youre supposed to whip out your rulers and find the area of all those lines cause thats the only shaded region
It’s an easy question, the radius of the square is 36 and the radius of the four arcs equals a circle so 36-9pi
They never said the arc is a quarter circle nor did they confirm the square's side length. So the square could be way too small or way too big because we don't have confirmation that the center of each circle is the point at the end of the square
People talking about the shaded region not realizing that “looks like a fourth of a pizza pie” is not a valid justification
I swear, if such installations would just make the damn questions understandable to anyone other than a second Einstein, I swear i couldve done this💀
Well if you mean the area of star than probably 36-9pi
But there's no shaded area unless you count the outline
Correct answer would be to not answer any of the alternatives, as there is no shaded regoin its = 0 sq units, none of the alternatives ... its the only way u can score all points on this question ..
Assuming the middle part is the shaded area, just take the area of the square and subtract the area of 4 quadrant circles
Its C, as the answer is in pi and area of diamond is 7.74(36-9π)
where'd you get the divide by 4 from? Is it because of the four arcs or 4 sides of the square?
isnt there a formula for area of shaded region:in radians half radius squared theta or in degrees:theta by 360 into pi r squared?Pretty sure its applicable here.Take theta as 90 ofc.
90/360 into pi (3)^2.
1/4 into 9 pi
that into 4
becomes 9 pi there
36 - 9 pi
Simple.
I did this on my mind
Really proud of it
Beside the lack of shading, it is not given that the arcs are full quarter circles. The centres of those circles can lie outside the square, kinda like the full circles were drawn in this video 😅
no way thats 1/4 circle
Is the shaded area the lines?? So shaded area = 0^2 units?
The question was okay BUT WHERE IS THE SHADED REGION 💀
Got this shit right because I didn’t read the question fully and assumed it was the square minus the circle
I learnt this in the 7th grade. Also, what even is the shaded region????
This is easy, how don't people even solve that?
The thing is the above figure is a square cuz the radius is of the arcs are equal at all points from a common center therefore there fore all sides are 2r second is if the radius of a figure is equal and there are four common figures there fore joining the 4 figures with equal r makes 2 diameteres (vertic and horizon) if thats the case and we know all points on the are when joined to a common centre are equal therefore it is a quadrant(my explanation is hotchpotch so yeh go watch a video or open ur maths book)
Where do you get the questions from?
Hah. I just assumed that the diamond was shaded and got the answer right. 😅
if there was a shaded region, this would be mad easy
Professors asking these kinds of questions and then they hate it when a student is ambiguous.
I think future admit forgot to shade the area
Maybe the shaded parts is what we learned along the way
Dude... first of all this thing has no shaded regions. Second, the shapes this girl calls 'pizza pie' is called a SECTOR which is a part of the circle. A sector has its own formula of finding the angle which is [ θ/360° × πr²] where theta is the angle subtended by at the centre by the two radii of the circle, in this case 90 degree.
Thanks for making this question 20x easier 😊
A solved it on my own in less than 1 minute with only my mind and not using any textbooks , pens and mobile
What the heck this is a question for 10 y/o in india. (assuming there was a shaded area)
We had this exact question on our Year 8 Annual exam
the answer = DNE due to line has no area
or 1 / infinity or 0
We solved these kind of questions in 9th grade in India
Sat is like an atom compared to jee exam here
hey google, how do i calculate the area of the gemini logo
If the middle is actually shaded it's the easiest question in the world. Only reason why 99% get out wrong is because there's no shaded area
The rest is basic math, findings the shaded area is the hard part.
How do we know that those areas is 1/4 of the circle, what if we extent the circle out and then they intersect with the other circles, that would mean their radius is bigger
but that one is easy, you know the side is gonna be 6, the area 36, and 4 quarter is a full circle, pi*r^2.
Bro I almost thought there was a bug on my screen, why is there so many moving black dots lol
Girllllllll ! In India, we solve these type of questions from grade 7-8. This seems like a piece of cake. But I agree that the question is wrong / incomplete.
Wait, so there’s no shaded region, and we’re assuming the area is a 4th of a circle?
This question is a piece of cake for people who is preparing for JEE in India
The 1% just circled a random answer or hallucinated AN ACTUAL SHADED REGION.
Lemme explain this shi easier
Were assuming that the shaded region is that diamond shape
Area of shaded region : Area of square - are of arcs
Area of square : s² = 6² = 36
Area of an arc : ¼πr²
Since there is 4 arcs, times 4
4 × ¼ × π × 3²
Cancel out the 4's
9π
So, its 36 - 9π, C.
Why so complicated?
Re-upload the short with shaded portion
How do you solve if it is not drawn to scale?
You're told the radius, so you can calculate the area of each of the quarter circles.
And the side length of the square is just double the radius of the arcs, so you can calculate the area of the square.
All you need then is for the question to actually shade some part of the diagram!
Bruh this is class 6th mathematics in India. Btw there was no shaded region💀
this wouldve been so easy if there was a shaded region
Most people study this in junior high or middle school, right? Anywho, I was confused because there's no shaded region, but given the content of the answer options, I guess you can guess that they're allsking for the area of the middle section, which would ofc be 36-9π. It's just weird that they'd say there's a shaded region when there's not.
If the middle bit was shaded I most likely would have gotten it.
It is a very easy problem to solve but we just get confused at shaded region
9999999 missed calls from my geometry teacher
It was the easiest question I've seen regarding SAT maths
Where is the shaded region??😭😭😭
Area of arc is about 1/3 of a circle makes it bigger than 9π/3 or bigger than 3π, so it is bigger than 36-3π/4. Now what's the area of "the diamond"? Still can't figure it out?! Draw a better circle where the area of the arc has an opposite angle of 360°/4 (1/4 of a circle) or 90° first. Otherwise, it will be incorrect no matter how you calculated it. E. None of the above. And F. There's also no "shaded region" making the question invalid. G. E +F. The answer is H. G with a shaded region.
There's litteraly no shaded region in this question and even if there would have been a shaded region, this is literally a class 6 question, almost anyone can do this. I mean who doesn't know the areas of a square and a circle
I guessed and got it right, practically a genius trust
I guessed C. Hardest? I doubt that, I eye balled that problem and was right.
u just guessed it so how can u be good. the chance is 1/4 not 1/1000.
I would have been able to figure this out if I knew what the Shaded region was.
the reason they got it wrong is because WHERE IS THE SHADED REGION 😭
if the shaded region was indeed shown, im sure they would have been able to answer. in my country, this is taught in grade 6 and is really easy 😓