Question

In a circle, a 60 degree sector has area 25 pi ft^2. What is the circumference of the circle? Leave your answer in terms of pi and simplest radical form.

I don't have any idea where to start.. Help!

Answer 1

area of a sector = (C/360)*r^2
where C is the angle of the sector in degrees

circumference = 2pi*r

so solve for r in the top equation, then plug in r into the second equation, ya? ^_^

Answer 2

here is the first step..
25*pi = (60/360)*r^2

Answer 3

So R = 2.04, right?

Answer 4

Or 2.04 pi? Sorry! I'm not good with math..

Answer 5

\[\frac {25*\pi} { \frac{60}{360}} = r^2\]

\[\frac {25*\pi} { \frac{60}{360}} = r^2\

Answer 6

\[\frac {360*25*\pi} {60} = r^2\]

Answer 7

can you work it out from there?