ฝัง
- เผยแพร่เมื่อ 19 พ.ค. 2015
- This is a graphic, simple and memorable way to remember the difference from a chord or a tangent or a segments and sectors! I made this after struggling to understand it myself, once i got to grips with it i decided to help others who were also stuck.. so this video was created...
This video includes Perpendicular bisectors of any chord
the angles in a semi-circle,
what happens when a tangent and a radius meet,
Angles that are in the same segment and how different they are, the circumference subtended by the same arc,
the meaning of subtended,
lengths of two tangents and finally the angle between a tangent and a chord.. aka Alternate Segment Theorem.
I re-uploaded this video because the last one had some glitches so here we are againn....
FOR THE QUESTION IF YOU ARE STUCK
okay so angle A is 55degrees. this is because the whole isosceles triangle adds up to 180degrees, you now take 70degrees from this because the angle on the far right hand side is 70degrees. this leaves us with 110degrees and you divide it by two (due to it being isosceles triangle) so angle A is 55degrees.
if you go to 1:07 this explains the next part on why there is a 90degree angle on top of angle B.
you take 55degrees from that 90degrees because part of the right angle overlaps the first isosceles triangle (on the right hand side) and we have previously worked out that, that angle is 55degrees, this leaves us with 35degrees.
now times that 35 by 2 which gives you 70degrees, take that answer AWAY from 180degrees because as you can see angle D is within ANOTHER isosceles triangle which means all the angles within the triangle add up to 180degrees.
because angle D is within that triangle, angle D and the angle at the bottom right of the Isosceles triangle will EQUAL to the same amount.
now divide the 110degrees by 2 to give you 55degrees.
*MUST READ* Number six in this video apears to be out of proportion and I did not realise. the arrow head shape MUST join in the centre of the circle not just anywhere. please note that the angle at the CENTRE of the circle is double that at the tip of the arrow.
in the video it is slightly below the centre of the circle.
TeenTopicsEducation holy shit man this was a big help ,I should have found this channel months ago👍 definitely subscribed
TeenTopicsEducation HOW is the first song CALLED?? Thankss
I mean the INTRO
faded from alan walker
Nickil Vishwaa It is called invincible
Exam tomorrow people?
We failing
yeahhhh
Yep. Mines at 9am and I’m here in the middle of the night panicking and looking on TH-cam
Affy yes and I am stressed
Yep, last minute revision!!
Evening chaps, how's the last minute cramming going?
Horrible.
Thank you Marcus, for being the voice of 2019, best of luck tomorrow kipper.
fuck this I'm out
Honestly fuck this shit
Marcus Cockerill ready to get 0 on any circle theorems question
To all the people having exam tomorrow and are here for last minute studies BEST OF LUCK!
Edit:Thanks for the likes, I hope everybody scores their highest marks
Finally indian name
@@tanvimalik907 ❤️🙏
Who has exams in October
Thank youuu
😅😅😅😅
i’m not here for the math exam, i’m here because i’m trying to make sense of quarantine math class
Same
same bruv
lol, same here, i don't understand one shit with these online classes
Lol . Ikr
I know right? I feel like they just try to squeeze in at least 6 topics in one sitting and not even giving the power points afterwards which kinda feels really confusing.
Since you have an exam tomorrow, stop reading the comments
Correction! It's next period.
Its in 16 days
Eddy Berta thanks mate lmao
*_No_*
Agg fuck u
School: 15 days circle theorems
TH-cam: 4 min 10 sec circle theorems
My maths teacher done 8 theorems in 2 lessons
11 secs😂
@@dance_cookie innit
yeah cause he did not show the proofs for the theorems which can be a lil to explain
@@thegirlwhoreads8449 ain't nobody care bout maths now, now sst is death
I just learnt all the theorems in 4 minutes and 10 seconds and was able to answer the final question correctly. This is a really good video lmao way better than any of my teachers could've done
ill take ur word for it
It still has errors in the definition of a chord, and the diagram explaining the equality of tangents.
True. My teacher spent a whole week explaining them and me brain....😕
4 minutes of this... omg yhhh 😄
@@ainsworth501 good to know 👍
omg same!!!
Also, for 1:47 , it doesn't have to be an arrow shape.
It's just that all angles from the centre of the circle will ALWAYS be twice (2x) the angle at the circumference, as long as they are subtended by the same arc. The angle at the circumference can move around the circumference, making shapes that don't have names.
Thanks!!!
Tysm!
Pin this comment
i love you
Anyone last minute studying for the exams?
Seoyeet’s tea 🙋🏻♂️
You fucking bet
@Afnaan Mohamad I have my maths paper 4,in 1hour
Poshos with their IGCSEs ffs
Seoyeet’s tea me💔
the facts are helpful but the music is distracting 😅😅
^No.
Thank you for the question 😁
Nice
Emily Sow, ikr!
haha thank you all, i will not add music next time! (spoiler, starting my channel up again after college as am working really hard on that and have hardly any time for making videos!!)
I have an exam in an hour and I needed a quick revision and this was the perfect one , sending it to all my classmates
thank you brother
Did you pass
have u pass the exam my dude?
Bro I have an exam on 30 minutes
@@flauntsouthreview this 😭
Honestly wasn't gonna see this simply because I thought this was one of those videos teaching impossible things in just 5 mins. I was, however, mind-blowned. I got the whole jist of the chapter. All I need now is to read my textbook and do questions just to see how much I got it. Amazing work, thanks!
same
Who else is going thru the exam leaving everything in God's hands cause they still don't understand??😂😂
Big Mich all things work together for the good of those who love Himmmm
Doesn’t mean don’t try
@@fujo44 umm no
Yup
Meeeeiiiiiiiiii!
Gonna to fail!😔😌
literally no one
not a single soul on the earth
People in the comment section:
'AnYoNe HeRe FoR tHe MaTh ExAmS'
Nah i'm here for English lit......
Hell no I have science exam and I clicked on this vedio for no reason
Abhinav Bindra me too
nah I'm a 40 year old with a job but watching this for no reason
@@parkouroman2789 the more you know I guess
you know youre a cool teacher when you put that music in the background
Lmao
Me: ok this is three minutes long surely I can concentrate.
Also me vining to the music: DE DE DE DA DA DA DO DO DO DOO DO DO DA DE DE DE DA DA DO DO DO
😁😁😁
THIS IS ME LMAOO
YES what song is that btw? siri didn't recognise it and I don't remember what it's called
😅d@@gayspine9434
@@gayspine9434hi. a year late. its called "Faded"
i hate the song
For that question at the end, there is a much quicker way to do it.
A= (180-70) / 2 = 55 degrees
Therefore, D = 55 degrees because of alternate segment theorem
Correct me if I'm wrong :3
Ikr I did exactly what you done
@@kdenorange lol its the correct working! You just have to write the explanations.
kdenorange All of us don't have the same solutions or ways in solving the problem for as long as the answer is correct or it is right.
@@victorharris916 in most exams the solution is just as important as the answer
kdenorange you still get full marks as long as your answer is correct then the examiners don’t care how you worked it out but if your answer is incorrect, then that’s when your working out comes into play for the marks
Title: everything in 3 minutes
Video: 4 minutes long
Me: visible suspicion
He actually completed theorems in 3 min. last 1 min was for question.
Easi aspi sus....Easi aspi was not The imposter!!😂😂😂
when your teacher spends 2 weeks explaining this, and no one understands, then this guy explaines it in 4 mintues and 10 seconds and I understand it
For those who didn't understand.. tangents: Tangents touching the circle are equal so ... angle A and other angle is equal since it forms isosceles angle (if 2 sides are equal then the angle opposite to sides are equal.)
Step 1: 2x+70= 180....x= 55
Step2 : tangent touching the circle forms 90° so 55°+interior angle B = 90
So interior angle B is 35°
Step3 : line BC and AC are radius so it will same or equal ... again it forms isosceles triangle so Interior angle B and interior angle A will 35° ...so angle C will be 110°
Step 4 : Angle D will b half of Angle C so D will be 55° (Angle subtended by arc and Central Angle theorem....shown in the video)
thankyou
Why is ut 2x
Anyone got an exam tomorrow
Jasminemm me
Good luck!
I have it today! Good luck!!
Yep
Me
Me
Really great video and love that it's all explained within minutes 👍
bro Im writing math in a few hours stop having such an attractive voice
Lmfao
This comment needs more like dude! 🤣🤣
All youtubers are adding faded theme song in the background 😂
Strange very Strange 😈
Ashutosh Alastair coz u can get this song rom NCS(no copyright songs ) and u can earn by the video without getting a copyright claim on the video
It's just that it so oversaturated that it hurts
head shot ! hahaha
Seriously 😑😑
coz this song is awesome
By the way the length A B and A C were put in the wrong place when i rendered the video. Length A B and A C are meant to be from the start of the tangent to where it hits the circle, not at the end of the tangent because that line will go on for forever if it could!
The video helped me to revised easier for my tomorrow's exam. Thanks
Thanks for helping, I got all Circle Theorems right in my exam
TeenTopicsEducation thank you that was really helpful for my mock👌
Is angle A = D (angles in alternate segments)
TeenTopicsEducation
I noticed but I know it was a typo
watching it after almost 7 years of its upload and it still makes sense to have such a great content on YT.
This is why school,coachings are never needed when u have videos like this on the internet💯
You're bursting with potential mate:D Tone down the music?
That Nerd really apreciate it, thank you! will do next time (which will be soon) (ish)
been slow at making videos due to college but will do them when i can!!
TeenTopicsEducation Ya a bit less music if possible
😂
That Nerd shut up
Here's one more little tip: in the last question, the quadrilateral ABC and the 70° point make up a cyclic quadrilateral (proof left as an exercise) so C is 180° - 70° = 110°. Then you can proceed as in the video to get D = 110° / 2 = 55°.
Actually I used a completely different method:
Let the intersection of the tangents be point P, and the points where the circle touches the tangents be Q and R.
Then PQ=PR, so triangle PQR is an isosceles triangle.
@Suleyman Kelbikhanov No, it's saying that the quadrilateral has opposite angles adding to 180 degrees.
He's correct tho
the literal definition of a cyclic quadrilateral is "a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle." here angle 70 degree lies outside the circle, so this is not the right method of doing this sum.
@@AD-il9zs That is a correct definition, but your argument is incorrect.
Property of cyclic quadrilateral: A quadrilateral is cyclic iff opposite angles sum to 180°
*Jokes on you folks..*
*I'm here because of my philosophy exam tomorrow!!*
Hey u took philosophy in university right? Im interested in studying it too how is it?
@@fardin4011 Hey, uh.. I haven't really taken philosophy and I'm not in university yet..💁🏻♂️
I've heard that it's an amazing field, though!!
@@rohanparikh4392 you just said u had philosophy exam so in your country you can take philosophy subject in school? Or did u just say it as a joke😂
@@fardin4011 😂
Damn!
This topic makes me go around in circles... 😂
whos here for their coming math exam?
meeee
Me
Yes
I'm actually using this to revise for my English language exam.
@@suffyc9499 *Wait...* you... *WUT?*
Everyone: *Cram studying*
Me: *Jamming to the music*
Thank you so much, my goodness. I studied for hours unable to fully grasp this concept and this video helped me so much.
Who else has an exam tomorrow that they didn’t study for :)
Omg internal exams
mAKe sUrE tO sUbSCRiBe
Maths non-calculator. I’m gonna die I need to move up to set 1
@@user-pu2xu2iq9o I had mine 2 days ago and tomorrow it's the one with the calculator which is Maths paper 2. I'm scared af.
jhope's chicken noodle soup
i have another one tomorrow sksndhhdndndh
@@user-pu2xu2iq9o My maths exams are finally over but good luck for you!
Thank you for the knowledge because I had difficulty in understanding circles.
Thank you very much for providing such a video. It really helped me a lot
Last minute studying for a test! Very helpful video, short and straight to the point, clear and precise too! Thanks a bunch for the upload! Subbed.
did u do well?
"Here we have a semicircle. So we put another one on top and put a random triangle inside." I already love this guy after hearing "random triangle"
Wonderful tutorial, explained beautifully with great visuals.
Get more from here👇
The playlist on Circle Geometry: Statement of the theorems and rich worked examples. Geometry: th-cam.com/play/PLYwM9CzPztOkE8m2zrJP_bZHEEjtzgHGX.html
Thank you for explaining it so well! It really help me to understand Circle Theorems! I'm so grateful!
1:57 it's cyclic guys, not "cylic"
Thank you. This is great for a quick revision.
Who is watching this in Corona season is a legend.
Hi, I am a boy from Russia and tomorrow I am going to pass my Math exams, so... Thank you for your help ;)
ohh great
Bloody Russian stole my pp
My class (Year 9. We are in advanced maths.) started learning circle theorems yesterday (but labels were about a month ago). Teacher told us to go on Geogebra and make notes. This video helped me a lot; thanks!!
Thank you man this video was a lifesaver
My 10th grade teacher spent 50 minutes trying to get us to learn it and this video made me understand it all in less than 5 minutes
I understood everything but the question. I had to watch it 3 times. I would make it a lot easier if you can say which letter's degrees you're calculating
Currently 1:15 am, have my exam at 8:40 wish me luck xxx
how was it? further maths aqa paper 1 is tomorrow and I've prioritised physics instead :(
@@j.1985 You have an exam ten minutes after going inside? Damn.
This video helped me so much and I have been having no hassle learning the theorems of circle :)
REALLY AMAZING CAN'T THANK YOU ENOUGH
0:57 That pun...
Haha right
I didn't even notice until you told me😂
Edward j Martens 𝕆𝕄𝔾 𝕞𝕖 𝕥𝕠𝕠𝕠𝕠 !
Lmao
What?
A=180-70
=110÷2=55°
D=A=55° (alt. seg. theorem)
Good job
Nice
I love those videos! So useful.
This video is special
Thanks a lot for making this great video,I was really struggling while solving these tricky questions
This video was really helpful
I don't know how to thank you. I had completely forgotten about the chapter. And you revived my memory. Instead of turning pages and watching long videos, this had really helped me . You deserve more likes and subscribers.😃
good luck on your exams everyone
Sir thank you very much for this. You made my all concepts clear.
Thank u so much... it was really very helpful... truly made me learn all of them in just mins
Thanks man! I have an exam in about 8 hours. hope I answer the circle theorems questions correctly. keep up the good work and I look forward to seeing your future videos. 😉👊
+JGS HD thanks man, that really means a lot! I hope you do too! Best of luck with your exam, now in about 2 hours!! Let me know how you get on :)
+TeenTopicsEducation hey! there was Twp circle theorem questions in the exam. and I did it! it was all because of your help i was able to grab 5 marks to contribute to 100 marks. Thanks for this video. I'm definitely subscribing. I have to say the editing on your video is really good too. thanks so much this video will probably be a life changer for me. 😉✌ fingers crossed.
+JGS HD oh my thank you so much, the reason I make these videos are for people like yourself, I'm so glad that it was helpful!! Really means a lot, I'm flattered, thank you so much.
TeenTopicsEducation To show my appreciation, I'll make people aware of your channel and your videos in our school. My maths teacher (who is a good friend of mine) will surely appreciate this. And I'd like to think you'd appreciate more viewers and subscribers to your channel. 😉👊
+JGS HD that would be awesome! thank you so much I'll make sure to make more maths videos within the next few months! that is very kind of you, thank you thank you thank you!
You can also solve using this
70° + angle C = 180. A theorem
We get angle C = 110°
Now angle subtended by a arc at centre is double the angle subtended by it at any point on circle
Angle C = 2angle D
Angle D = 110÷2
= 55°
what is the theorum which makes 70+anglec=180??
@@rajipadmapati it's not actually a theorem but we can see ACBX make a quad then apply that sum all angles in a quad is 360 as 2 angles are 90° (tangent perpendicular to radius ) ,, hence
@@rajipadmapati that result you will use to solve questions in class 10
@@rajipadmapati opposite angles add up to 180
im 8 years late to this video but it still helped me alot, thank you.
this video helped me so much for my GCSE exams/mocks was able to solve the question at the end which is something i would not have been able to do before this video thxx
A + B + 70 = 180 (Sum of angl...)
A + B = 180 - 70 = 110
A = B (Equal lengths of the 2 sides = Isosceles therefore base angles are equal, 110/2 = 55 each)
A = D = 55 (Tan chord theorem OR theorem 9 in the video)
B is the angle shaded in white, It's not inside the angle you are talking about
OMG..... this helped alot, thank you soo much !
Nice video, exactly what i needed jsut a lsit of the theorems and a brief explenation. Teachers make it harder than it is.
This helped so much thank you!!!
The best 4-minute maths video ever made. Saved my Mocks. Circle theorems came up on both papers 2 and 3 on the calculator. Love you bro
this question came up in my gcse exam, without you i would be a couple marks off a pass, thanks to you I PASSED THE EXAM
+KoZPLaYsGaMeS thats awesome!! Well done mate, really glad that this was helpful!
#2 CLEW MY MIND! I opened up an online protractor to see if it's true THEN I REALISED A PROTRACTOR IS A CIRCLE, AND THAT SPECIFIC 90 DEGREE RULE IS WHAT MAKES IT WORK, AND GIVES US GREAT EASE AT DRAWING CORRECT ANGLES ON A 2D SURFACE.. But then I remember I dropped math all those years ago, and I'm no good at it.
This is about to save my life. Thank you. I have Chemistry, Math, and Business tomorrow and I have no time to do anything so thank you so much
Great work there mate! I have my O level Mathematics exam in some time and this video really helped me revise the circle theorems in 3 minutes! Keep up the good work! :)
+Ishaan Agarwal aw that is awesome! Glad it helped! Thank you so much, I'll be creating more videos soon!
Me being the dumb fuck I am read O levels as 0 levels SMH
For D you could just simply use the alternate segment theorm
The song helped us for concentrating . Thank you for your excellent video
THANK YOU!!! This is really helpful. 😊
people in the comments: last-minute studying, cramming, or has an exam tomorrow.
meanwhile me: watching while answering an exam
A legend
hey thanks a lot this is really well made, clear and easy to understand. I'm surprised I haven't heard of your before!
FlyingScotsMan aw thank you so much! it means a lot! :)
glad to see a tradition of cramming every year
you taught us what the teacher could teach us in 2 months in 4 minutes❤🔥❤🔥
1 hour till igcse maths exam
I got 1 hr aand a half
this video helped me alot!!
I'm glad! thanks for watching!
you the best :]]
I may not fail tomorrow, because of you!!!!
i love the fact that u add musics in the vid but its a little distracting its better if u add one quieter musicthat would help to concentrate and moreover u have the best explanation ever ! keep it up
I think the guy is dead now
Dont worry folks...we will understand all theorems after graduation
You made the final question seem more complicated than it actually is. The only thing u need to calculate is A and D = A due to alternate angle theorem
even easier if you go straight to c = 110 because 360 - 70 - 90 - 90 because tangent meets radius at 90 degrees and angles in a quadrilateral add up to 360. Then you do angle in middle is twice angle at circumference
@@AD-tr6bf correct me if I'm wrong but wouldn't A=C because of the alternate segment theorem? and then C=D because they are both subtended by the same chord?
This is a very good video for revising our concepts.
Explained very well...hat off...best to watch before you do circle helped me a lot....
Hi ! Can you take a video on tangent secant (angles) theorem involving the arc angles?
Your content and representation is awesome !
Thanks in advance
Ps. To the question at the end, there's a much simpler less painful method
Instead of using circle theorems to find angle C, then using the angles in an arrow rules, you can find the answer directly after you find angle A using (180 - 70)/2,. You can simply use the alternate segment theorem to see that A is the same as angle D, getting the answer of 55 degrees.
wrong
you dont know if BD is parallel to AX consider the point where 70 degrees lies to be X and they are clearly not you can see this much,right?
Dude i'm watching the morning on my G.C.E. O/L Maths exam day... this thing helps a lot fam... God Bless ya..
Bro you killed it thank you
1:53 the point need to be center of a circle for theorem to be true, that doesnt look like it's in the middle!
To the people who have there math test tmr and are studying like this as the last minute good luck
Thanks man you saved me so much time
Amazing man thanks man i helped me a lot, with the help of this now i can solve any circle base question, THANKS BRO no i dont need to remember any question just need to remember theorems
u r amazing u r the only youtube who can explain maths, keep it up+ u have a nice calm slow voice r u a teacher
and btw I like u more than my maths teacher firstly he only focus on 4 students so most of the class do not know what's going on he only explains on a small desk to the students he likes he tried to suspend me once coz I didn't do the work but I didn't k ow what's going on
+hell yt megan i am not a teacher... yet! At the point I made this video I was 15 so i got a while to go! But thank you i really apreciate it!
Im glad you think i do and thank you!
Sorry to hear about your teacher!.. try your hardest to ignore him and use TH-cam to teach him a lesson that you are good at maths!
Pls go through this channel. If you like it, Pls subscribe
th-cam.com/video/jmR8K62-HMw/w-d-xo.html
helped a lot thanks. keep up the good work lad
that means a lot, thank you so so much :) it is my pleasure
+TeenTopicsEducation 👍👊