Help!
A rectangle is inscribed within a circle. The coordinates of the rectangle are (-8,3); (20,3); (-8,-5); and (20,-5). What is the area and circumference of the circle?
@dumbcow
@Hero
@Easyaspi314
@e.mccormick
|dw:1383093422005:dw| find radius of circle using pythagorean thm
Where did you get the 14 and 4 from?
@Compassionate
from the coordinates of rectangle you know the length=28 and width = 8
find the distance of the rectangle's diagonal which would be the circle's diameter |dw:1383093736115:dw|
Oh okay! Yeah I understand that part. And after that?
once you get the diameter half the diameter is the radius area of circle: pi * (radius)^2 circumference of circle: pi * diameter
And how can I find the diameter of this figure?
the diameter is the distance from point (-8,3) to point (20,-5)
|dw:1383094324729:dw|
Would I need to sorta figure out the slope to get the diameter?
distance formula is: \[\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\] when given the points (x1, y1) and (x2, y2) so plug in for x2 = 20 , x1 = -8 , y2 = -5 , y1 = 3
Give me a min to try to solve it please
Is it 29.12 @jigglypuff314 ?
it would be best to keep it with square roots and stuff :)
so then it'll be like 784^2 and -8^2
the diameter would be √848
Oh okay that's what I got
so area would be pi(√848)^2 = 848*pi
Then will that mean that the radius is 424 square root?
And what about the circumference?
@jigglypuff314
circumference would just be pi times diameter so pi * √848 which can be simplified to 4pi√53 if you want
For the area, isn't it suppose to be the radius and not the diameter?
oh right, sorry, yeah so then pi * (1/2 * √848)^2 pi * (1/2 * 2√212)^2 pi * (√212)^2 so 212pi
Why would you multiply by 1/2?
radius = 1/2 diameter
thanks
glad I could help :)
Join our real-time social learning platform and learn together with your friends!