The area of a sector of a circle with a central angle of 8π/13 rad is 22 m2. Find the radius of the circle. (Round your answer to one decimal place.)

Answer 1

area of sector = angle / 360 * radius^2

= angle / (2 pi) * radius^2

22 = (8*pi)/(13 *2*pi) r^2

22 = (8/26) r^2

22*26/ 8 = r^2

11*26/4 = r^2

11*2*13/4 = r^2

sqrt(11*2*13)/ 2 = r