thank you so muchhh my teacher has bad handwriting so when he explained it to us i didn't really understand but with this video and the understandable pacing i was able to figure it out
Yes. If the central angle is 5 degrees and the arc length is 10 feet, you could follow the exact same procedure substituting your angle and arc for mine.
How come the bigger the angle, the smaller the radius? So if I have angle of say 360 degrees compared to 1 degree, the circle gets smaller and smaller in radius?
The angle really tells you what fraction of the circle you have. For example, a 90 degree and is a quarter of the circle while a 180 degree angle is half the circle. Say you have a piece of string that’s 20 cm long and it goes half way around the circle. Now imagine that you put the same string on another circle and it only goes a quarter of the way around. Which is the bigger circle? If the string only goes a quarter of the way around, it must be a bigger circle. If the same string goes halfway around, it must be a smaller circle. So a smaller angle means the string (arc length) covers a smaller portion of the circle. The smaller the portion of the circle covered, the bigger that circle must be. Thus the smaller the angle, the bigger the radius (for a given arc length).
I have a problem that’s says a circle has an arc length of 13 feet that is intercepted by central angle of pie radians. What is the circumference of the circle?
If the angle is pi, that means the angle is in radians. The arc length formula for radians is arc length = radius x angle. So in your case 13 = radius x pi. If you divide by pi you get radius = 13/pi. The circumference = 2•pi•radius. Since the radius is 13/pi, the circumference = 2•pi•(13/pi). The pies cancel out, so circumference = 2•13 = 26. 🤓
The perimeter of a circle is called the circumference. If they gave you the perimeter, they gave you the circumference (77.91). The formula for circumference is C=2pi•r so we have 2pi•r=77.91. Dividing both sides by 2pi we have r=77.91/(2pi). You don’t need the angle given.
The Music Master I know about systems of equations. I think that is the same as simultaneous equations. However, I’m not sure what you mean by “indeces.” Tell me more.
Here is a playlist from my PreCalculus course that is about matrices. However, the first six videos (Day 1) are a review of simultaneous equations. czcams.com/play/PLUq8yM4tK_aUwt1E_d7H-wscN3LTf0nZ7.html Also, here are a couple of video from the same playlist about using matrices to solve simultaneous equations: czcams.com/video/Evb3pCSaCOg/video.html czcams.com/video/ShgQ4MAOGuw/video.html czcams.com/video/cQfrb3Nxbg8/video.html czcams.com/video/aoagQvYVqWY/video.html
Okay so here's the thing, I was trying to do this myself but I always get the radius wrong. Seeing this video made me realise that I used πr instead of 2πr to represent circumference. Thank you for making this video, but my gosh am I stupid.
With radians, the process is a lot easier. S=r(theta) so r=S/theta. Let’s say the central angle is pi/6. Then r=(3pi/4)/(pi/6)=(3pi/4)(6/pi)=18/4=9/2=4.5.
I agree. I like to show a variety of methods and then let people pick which one they prefer. There will always be a certain percentage of people who prefer an alternative method even if it seems more complicated to many of us. The human mind is a strange and wonderful thing. 😊
Very well-explained. Thank you so much. It helps me a lot.
Yay! I’m so glad I could help. 😊
Thank you.. You just saved my day🤣❤💯
Yay! So glad I could help. 😊
thank you so muchhh my teacher has bad handwriting so when he explained it to us i didn't really understand but with this video and the understandable pacing i was able to figure it out
I got your back. 😎
Appreciate it my brotha!
I got your back. 😎
so if the central angle (alpha=5) intercepts an arc of length (s=10ft), would i find the radius the same way?
Yes. If the central angle is 5 degrees and the arc length is 10 feet, you could follow the exact same procedure substituting your angle and arc for mine.
finally, a youtuber who doesn't convert to radians
Very helpful!
How come the bigger the angle, the smaller the radius? So if I have angle of say 360 degrees compared to 1 degree, the circle gets smaller and smaller in radius?
The angle really tells you what fraction of the circle you have. For example, a 90 degree and is a quarter of the circle while a 180 degree angle is half the circle. Say you have a piece of string that’s 20 cm long and it goes half way around the circle. Now imagine that you put the same string on another circle and it only goes a quarter of the way around. Which is the bigger circle? If the string only goes a quarter of the way around, it must be a bigger circle. If the same string goes halfway around, it must be a smaller circle. So a smaller angle means the string (arc length) covers a smaller portion of the circle. The smaller the portion of the circle covered, the bigger that circle must be. Thus the smaller the angle, the bigger the radius (for a given arc length).
Thank you . Is very helpful
Yay! I appreciate the feedback.
I have a problem that’s says a circle has an arc length of 13 feet that is intercepted by central angle of pie radians. What is the circumference of the circle?
If the angle is pi, that means the angle is in radians. The arc length formula for radians is arc length = radius x angle. So in your case 13 = radius x pi. If you divide by pi you get radius = 13/pi. The circumference = 2•pi•radius. Since the radius is 13/pi, the circumference = 2•pi•(13/pi). The pies cancel out, so circumference = 2•13 = 26. 🤓
@@MrHelpfulNotHurtful omg thank you so much I had been stuck on that one question the whole day 🙏🙏
Yay!! So glad I could help. 😊
Thank you sir , It was really helpful I really appreciate
Yay! So glad I could help. 😊
Thank you this helped soo much, you have no idea 😅 🙏
I’m so glad I could help! 😊
Thank you so much man
You are super welcome! 😊
Thank youuu soooo much dude
Anytime 😎
They are asking me to find the radius of a sector with: 1) perimeter 2) angle
So it would be 148/360 x 2pi x r +2r= 77.91
How would we do this then?
The perimeter of a circle is called the circumference. If they gave you the perimeter, they gave you the circumference (77.91). The formula for circumference is C=2pi•r so we have 2pi•r=77.91. Dividing both sides by 2pi we have r=77.91/(2pi). You don’t need the angle given.
Plz make a video on Indices and simultaneous equations. PLZ I LIKE YOUR EXPLANATION ALOT.
The Music Master I know about systems of equations. I think that is the same as simultaneous equations. However, I’m not sure what you mean by “indeces.” Tell me more.
@@MrHelpfulNotHurtful Indeces is also called exponents (eg. 2 raised to power 4 ) Make a video on laws of it and some hard questions on it.
Here is my a playlist from my Algebra 2 course about exponents (indeces): czcams.com/play/PLUq8yM4tK_aUum7U-WoTzIPYn-ew9lu9V.html
Here is a playlist from my PreCalculus course that is about matrices. However, the first six videos (Day 1) are a review of simultaneous equations.
czcams.com/play/PLUq8yM4tK_aUwt1E_d7H-wscN3LTf0nZ7.html
Also, here are a couple of video from the same playlist about using matrices to solve simultaneous equations:
czcams.com/video/Evb3pCSaCOg/video.html
czcams.com/video/ShgQ4MAOGuw/video.html
czcams.com/video/cQfrb3Nxbg8/video.html
czcams.com/video/aoagQvYVqWY/video.html
Here's a video about solving systems of polynomial equations: czcams.com/video/nl54_mZfCNE/video.html
Okay so here's the thing, I was trying to do this myself but I always get the radius wrong. Seeing this video made me realise that I used πr instead of 2πr to represent circumference. Thank you for making this video, but my gosh am I stupid.
Glad I could help. We all make silly mistakes my friend. 😎
How would i figure out the radius without the size of the angle
What two pieces of information are you given?
How do we solve the major arc length? Please help
First find the circumference which is the total arc length of the whole circle. Then if you subtract the minor arc it will leave the major arc. 😊
@@MrHelpfulNotHurtful Ok thanks a lot.
Anytime 😎
This video is better explained then my teacher
I’m so glad I could help. 😊
WHYYYY ARE YOU SIMPLYFYING EVERYTHING
I find smaller numbers easier to work with.
Thanks Mordecai
You are very welcome 😊
How about when the arc length is in form of pi
The steps would not change if the arc length was given in terms of pi. You are more likely to get a whole number since the pi’s will cancel out.
What if your s= 3pi over 4
With radians, the process is a lot easier. S=r(theta) so r=S/theta. Let’s say the central angle is pi/6. Then r=(3pi/4)/(pi/6)=(3pi/4)(6/pi)=18/4=9/2=4.5.
What is the name of the theorem sir, please help
There is no named theorem used is this video.
Tnx mr helpfulnothurtful
Anamullah Ahadi You are very welcome. 😊
i dont understand my homework. They didnt give the arc length or the radius only the angle and they are asking me to find its measure.
The angle and the arc measure are the same thing. Whatever they gave you for the angle, that’s the answer.
I ❤ it
Yay! I appreciate the feedback. 😎
goat
😊
but this method is even more complicated than the tour other video of solving it xd
I agree. I like to show a variety of methods and then let people pick which one they prefer. There will always be a certain percentage of people who prefer an alternative method even if it seems more complicated to many of us. The human mind is a strange and wonderful thing. 😊
150/360 = 220/x gives you the same answer.
The above example does not include the circumference of 528cm/2pi which gives a radius of 84.03 cm
Thank you. Yes. That is another valid way of doing it. I have other videos where I explain it your way instead. Good job. 😎