The area of a sector of a circle with a central angle of 4𝜋/13 rad is 15 m2. Find the radius of the circle.

Answer 1

A = (theta)/2pi x pi r^2 = theta/2 x r^2 = 4pi/13/2 x r^2= 2pi/13 x r

15= (2pi/13)r^2

r ^2= 15(13)/2pi = 195/2pi = 31.051

r = sqr31.051 = about 5.57 meters

Answer 2