How to find the center and radius of a circle in standard form
ฝัง
- เผยแพร่เมื่อ 20 ส.ค. 2024
- Learn how to graph the equation of a circle by completing the square. Completing the square will allow us to transform the equation of a circle from general form to standard form. When the equation is in standard form we can identify the center and radius of the circle to graph to then graph the circle.
⭐️New Video on Finding the Center and Radius - • Find the Center and Ra...
✅ More Examples of Circles - • The Circle in Conic Se...
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⭐New Video on Finding the Center and Radius - th-cam.com/video/VAl_yqL8ODQ/w-d-xo.html
✅ More Examples of Circles - th-cam.com/play/PL0G-Nd0V5ZMoFV7X4wyGdANKPgr_XLyu3.html
do you have another example of finding the center of a circle and radius that has odd numbers sir?
why can this dude teach me more in 5 minutes than my teacher can in a 50 minute period
online is awesome!
The truest comment ever
WavyJ SAME!! 😂
pretty easy bro, in school the most of the teachers do not care their the subject
because you actually want to learn
You have no idea how many college algebra students you are helping... big thanks!
just happy to be able to help
Your doing algebra in college....sad
Austin B. Lol I'm already doing this as a highschool freshman
Y O I N K Yeah that’s the level your suppose to be at. When you get to college you should be doing calculus
Hey man we all learn at different rate...just work hard at it
Don't mind me in the sea of comments, just an 11th grader appreciating all the work and effort you put into this so we can understand a fun subject made dull by disinterested teachers, Thank you for your help Mr.Brian!
You are very welcome!!!
Man this guy actually answers comments! What a Chad
So true, maths has never felt so fun before I got the teacher I have now that genuinely enjoys maths
7 years ago and this still helped me in 2020🥂
Thank you🙌🏾💯
same
Same here!!
2021 here
To me, in 2022
You can’t change math.
This was made 4 years ago, yet you still comment to people even now. You are dedicated! I have never seen someone actually come back to a previous video made more that 6 months ago, that replies to their comments to help them. This is very appreciated and I will stick around on this channel. Have a good day!
I appreciate everyone that comments, I can't get to them all but try really hard everyday to make sure to respond
1:46 I hope Gavin really got this one
Samantha this is why I’m in the comment section
I hope I did
Gavin de Dios 😂
It's Kevin I think
Lmaoo
If this video or many others was helpful, please consider letting me know with a "Super Thanks" above ⬆. I am able to read and respond to all my messages and thank you so much for your support
Thanks from Mexico. 🤘
Super duper thanks!!!!
Sir
Please help i think answer would be (2,-5)
@@Islamicteachinggs yes, just a teachers mistake to see if ur paying attention lol 🤣
On the contrary, I just saw that u have to inverse it, similar to how u find x, so its that simple, inverse it
I have no idea why but how smoothly he writes like his marker is just floating over the whiteboard is oddly satisfying
FACTS
hey great to hear I have been able to help. All of my conics videos are labeled "Module I" I will have them all labeled in playlists soon but in the mean time you can search for those videos if you need or if you want to see more videos I have conic sections videos for pre-calculus labeled in playlists 10.2-10.4
Brian McLogan
Sir i wanna learn more eventhough im not good at math
Thanks for this one sir..i learned a lot.
THIS IS SO MUCH BETTER THAN SITTING IN A 2 HOUR CLASS PRETENDING TO UNDERSTAND WHAT THE TEACHER IS SAYING
Bruh you really calling me out right now
THANK YOU! I have a quiz tomorrow and this helped SO much
How he get the 25?
@@prettyboy9416 -10/2 simplifies to -5/1, when you square that it turns the negative to a positive equaling 25
i wish this guy is my teacher, learned a lot from him before my examination day
I had Mr.McLogan as one of my teachers in high school (and wrestling/rugby coach) and he was by far one of my favorites. I have recently gone back to college and finding this video was a stroke of luck! Thanks for making this available it was great to learn from you then and it is awesome to still be able to use your videos for references!
im in pre calc i swear my professor sounds like he speaks a different language teaching this
lol. Thanks
sameee quiz tomorrow and this helps big time
Ethan F how did you do
You do this in calculus?
@@lefthanded5473 You use this in calculus, but you won't learn it there.
4:50 The way he wrote 6....that's the devil's work, son.
That should not be legal
i don't get it
Me neither, test tomorrow
It was so simple he taught effortlessly I'm a business student but i got it....
@@alexandrafriess623text next period 😭😭
I do
@@Lyrics_world42 well no he didnt really teach anything, he regurgitated a method that if you dont follow you will not understand. Hense you understanding and this other guy not understanding
can I go to the bathroom plz
Then you'll miss some part of the lesson.
I don't know, "CAN" you?
Ilia Morshed LMAO
Piperjama S shits on desk
@@PiperJSmith Ahh, I remember my school days. My teacher would rectify me innumerable times for not saying "May, I go to the bathroom?"
this dude has the coolest teacher name i have ever heard of
my geometry teacher freshman year was bipolar and insane and didn't actually teach geometry. She completely skipped over all circle relatied things and now Im here because I need to take the SAT soon. Thank you my goat
love how straight forward and simple you teach!
I really appreciate this video, especially of how you were able to explain the complete the square function. Simply dividing by two and figuring out the third number of the trinomial is SO much easier then when my college professor simply stares at an x2 binomial and simply says , " now what number do you think we should add to complete the square?"
This is a life saver.
Mr. Logan, i learned this stuff a long time ago in a galaxy far far away. Since then i have forgotten. Last time i used it was while studying for the PE exam more than a decade ago. Now i have to relearn for my daughter's PSAT prep. Thank you for teaching the material in such a way that an old timer like me can remember. I am sure i will be viewing more of your videos for the summer and the fall semester. Keep up the great work my friend!
Lol with quarantine going on and online classes, my teacher is just sending me your videos so she doesn't have to teach anything. Nice work!
Good thing
HAHAHHAHAHA
Our teacher just sends PowerPoint slides it was so frustrating
I wish I had you as one of my teachers. Very easy to understand the way you teach. Thank you for being so passionate about what you do -- it shows!!!
I never knew Randy Orton was so good at math!
Doesnt rlly look like him
marcusmvpgoat 123 yes he does
@@gomro_ randys eyes. Dont look like that
lmao just had a breakdown trynna learn this in school
you have no idea how much of a lifesaver you are , honestly
10 years later, after studying with you during my middle and high-school, now i am studying for my uni test with your videos as well ❤️ I hope I can come here again during uni, you’re the best teacher out there for math
I literally have a test in two hours and this saved my life.
College algebra ?
fascinatinglist yup
Thank you so much! My professor doesn’t speak english very well and doesn’t explain things algebraically... so this is really helping!!
It’s been 8 years and his help is still the best around. Now that is a great legacy. A few years from now I’ll still be watching his videos for help
I'm in precalculus now... your videos have helped me more than my past 4 professors ever did, your the reason I've gotten 4.0s in all my classes up to this point. My school should be paying you. Thank you so much! ❤
happy to be there for you Megan!!! keep working hard
He just explained in 5 minutes what my teachers couldn't over the course of two lessons bruh
Legends watch this video in 2024
Thank you for literally posting free education. I owe you so much for what you have done for me. You are one of the best math teachers I have had. Thank you.
Much more helpful than my teacher. Thanks
Our teacher just shoves modules to us every week and now we have 13 lessons in total to study for our exams. Not to mention her modules sometimes have mistakes that she doesn't even correct and she doesn't explain how to do it. 🥰
I wasn't paying attention in our class the day it was taught and I have a quiz tomorrow so this just solved all my problems. Thank you!!
awesome! best of luck!
send me ur number
Okay so my parents pay $1000 every month to teach me...but I don't understand what's going on- and you always help me out...for free!!!
This was made way long ago but hes still out here helping young minds this man helped me with so much i swear... thank you!
I don't think you will ever see this comment, but thank you VERY MUCH for getting me through a maths exam. You are my savior!
Thanks for the demonstration. I've been learning this equation of the circle quite quickly.
awesome! happy to help
Brian McLogan I have a few tutorials of my own on my channel.
I'd love to hear your thoughts on them. When you have time that is.
Thanks again for helping me remember the h, K and r of all these equations
You're going to put me through college, I love you. It's 2021, I am a 25yr old who is still learning algebra. I needed this.
I have seen 5 to 6 videos but no one was able to understand like you, you have told in a very simple way, your method of teaching is very good
Thank you! I really appreciate that
Your explanation is amazingg🥺 I was struggling so much solving such problems in the SAT, but now I'm so flexible at solving. Thank you❤❤
lol
Wow, this was amazing. I guess he's teaching in a high school (because he is actually talking to the students), but this helped me a lot even in university. I wish my professors could be this good. This didn't take long but I learned a lot. My teachers are just rushing by with very little time, but they get less information and less education across in the same time as this man who is explaining everything, and doing so in a very good way.
Helping me pass calculus from across the globe, you are a hero!
Awesome! love it!
Watching this 2023. You saved me man, 👍 if only every teacher would have been as precise and to the point as this man
Got a huge circles test tomorrow and now I’m feeling really confident. Great video!
Good job, Gavin.
seriously
I'm not doing this until next year in math class but I love maths so I've learnt it now :) Thanks for the help.
you are very welcome! keep at it
shut the fuck up. stop making people feel like shit
Liam Michi You have problems. . . He did nothing wrong
Liam Michi lmao I feel u
This helped me out extremely well. I have ADHD so learning from my teacher who drags it on for ever is super hard. So thank you!
same, I have some ADHD as well
Here I am in Calc. 3 still returning to this amazing channel. Thank you so much for all the good work you do!
Can you wait two seconds 😂
haha yes
Wait I'm confused where did you get the 2 and 5 in (x+2)²+(y-5)² ? I got lost ://
Edit: I understand, thanks !
FARZAD thank you!
@Earl Jovhan Cameros No. It has to be factored then apply perfect square formula.
@Earl Jovhan Cameros (a+b)^2 = a^2+2ab+b^2
@Earl Jovhan Cameros Factor our b^2 that is +4 we get 2.
You get 2 and 5 by factoring.
Using perfect square formula.
This man is single handedly carrying me through college math.
thank you so much I have been struggling in my algebra 2 class and you have explained this 5 minutes instead of my lazy teach has telling me to look at my notes and not helping me. you sir are a saint.
You are welcome! Happy to help you out.
Phat
can u explain how can we factor it out if x^2 has a term
Divide *both* sides by the numerical coefficient of x^2 before completing the square.
@@evangelinetiapson9217 so we divide everything or just the x terms and the other side of the equation?
Who else is crying because they don't understand this and got all stressed out and is questioning why the frick there's so much workkk
An easier approach is to divide 4x and -10y by (-2).. you’ll get (-2,5). Then you square root (-2) squared plus (5) squared - (-7) which will give you 6. Square the 6 and you’ll get 36. Now just put them in your equation. So it’s gonna be (x+2) squared plus (y-5) squared equals to 36.
@@omarabdelbary8126 thankss
@@omarabdelbary8126 Where did you get the (-2)?
@Zhen In the method I use, we ALWAYS divide the two numbers after x squared and y squared by (-2)... in this case we divide 4 by -2 and -10 by -2
Omar Bradley could you make this video with that explanation? Plsssssssss?
Thank you for the Quick yet Understandable Info! I finally manage to understand it
you're a better teacher than literally all of my math teachers I've had in my life. Thanks so much for the help!!
Thanks! I live in Ukraine and I got this example! Thank you for explaining and helping!
you are very welcome! Happy to hear from you
Very helpful still in 2024 sir
this guy can teach
especially if you need som e quick help
he's straight and to the point while still guiding you along the way
Taught me more in 5 mins than I did in my lesson thanks!
You are very welcome!!
i dont understand where the-2 and the 5 came from. i was with you every step and then whoosh to the answer
idk if you still care but remember the equation is (x-h)^2 + (y-k)^2 so to get (x+2)^2 like the equation in the video it must be (x- -2)^2 since negative and negative is positive and using that same thing on (y-k)^2 to get -5 it must be 5 since positive negative is negative.
@@rushilsherieff3751 but how did he come up with -2?
@@professionalocchiolist4104 i know this is very late but im guessing he square rooted (x^2+4x+4
@@lindttortillatime1005 thank you 💞💞
@@professionalocchiolist4104 ok wait sorry. I just found out you have to factor out (x^2+4x+4). To factor, what makes up 4? That's 2+2. Second, what makes up 4? 2*2. So that would be written as (x+2)^2 :D
I would like someone to please explain to me how you got (×+2)^2+(y-5)^2
I don't understand how you came up with the 2 on the x side and the 5 on the y side
just factoring
@Dorainne Derigay I know the question's not for me but if you don't mind, let me help you. Well, returning back to the center radius form, which is (x-h)^2 + (y-k)^2, substitute the h and k with the answer you got, which is positive 2 and negative 5. It will look like this: (x-2)^2+(y-(-5))^2 Negative times negative is positive. Hence, the answer (-2,5). Hope this helped :3
@@gabbie0921 were did the 2 and the 5 come from tho
Yeah i dont get how you get from x^2+4x+4 to (x+2)^2. Isnt (x+2)^2 x^2+4?? It doesnt make sense.
@@slezzzy4916 It came from the factored form (x+2)^2+(x-5)^2. Thus, getting positive 2 and negative 5.
This gentleman has been one of the best teachers I've ever been taught by, and I've never even met the guy
thank u so much i forgot how to do this and tomorrow is my periodical test here in the philippines. This will help me a lot thank you! wish me luck
thank you for this vid or else this question will be the death of my grade
I do have terms in front of my quadratics unlike the problem in the video, what do I do lol
just divide the whole equation by the term (thats on the front of x),so that the x becomes alone. Then follow the same procedure as he did
or u can factorize and stuff but thats a complicated procedure lol
Best teacher to ever grace the planet ngl
7 years ago and still helps me in 2021 ✨ you are the best sir !! 👏🏻🥂
Thank you so much Sir 👍🏿✨my whole headache questions solved in 5 minutes
This really helps me a lot thanks to you.. I learned a lot. Watching here from the Philippines🇵🇭
Your explanation of the balancing out of the equation needs work, that was confusing as all hell and I know I'm not the only one
Your students are so lucky to have u as a teacher :)) man i wish i was ur student
It is still helpful even after years later, like my teacher would keep talking too fast and before you know it there's like a bunch of equations,number, fractions written and I leave myself clueless and this guy makes it easy to understand within minutes bro... Man to have this teacher would literally make me ace math easy.
Who is watching this in 2020?!????!!?
This had seriously helped me during this hard times where math is taught online. Thank you for your videos.
Guys you can just divide the number behind the X and the Y with -2
In this case 4/-2=-2
-10/-2=5
I=(-2;5)
R= 2^2 +5^2 -(-7)
=4+25+7
=36
√36 =6
The 2 and the 5 in the R are the coordinates of the I the 7 is the last number in the given case
I know I'm late but ok
Can't believe good math teachers like you exist, good work
I'm a homeschooled student so it's hard to learn this without a teacher showing me how to and you helped a lot, thanks :)
Ditto
Yet again you have helped me immensely! My math class is 3 hours long so sometimes information is too much to take in, Looking forward to the next video when I'm stuck on a math concept I don't understand.
Imagine actually having a good teacher like him
Very simple explanation for something that can be perceive as complicated!! Thanks for the example!! Made my life easy!! Appreciate it!
Thank you so much! I have midterms coming up and was struggling with this
Sir you're amazing..... Love from India 🇮🇳
This is sooooo helpful for my acceleration exam!👍
Get this man more subscribers
Literally watching this video made me get a better understanding of completing the square for a circle.
thank god for this guy. life SAVED
Love from India 🇮🇳 awesome explained
Happy to help!!
Man, you just saved my life. I've been sick with Walking Pneumonia, and I have a test tomorrow. Thank you so much.
Thank you so much! :D Couldn't have made it through my midterms without you!
contrary to popular belief
Math Teachers are actually pretty chill and not too bad
(from personal experience and this guy)
It's pretty understandable with this guy explaining it and Kevin got it also 9 years ago
my score in maths has increased thanks to you. your students have soooo much chance having you
Cramming for an honors geometry midterm at the moment...as a current freshman who took algebra last year, thanks, this really helped me remember what I learned! 😅
Best of luck!!
@@brianmclogan Managed to rake in a 92--thanks so much for your help!!
This guy is an angel sent from heaven 😭
If only my teacher explained these as thoroughly as he did
@Brian McLogan
more easier way-
center=(coeff. of x divided by (-2), coeff. of y divided by (-2))
here,coef. of x=4 and coeff. of y=-10
therefore, center=(4/-2,-10/-2)
center=(-2,5)
And for radius,
r=√(2^2+5^2+7)
=6
I have my math final tomorrow and this has helped me greatly, thank you so much for the videos, you're a damn exemplary teacher