Homework SourseA sector of a circle has central angle 5 pi6 and area 5 pi27
A sector of a circle has central angle 5 pi/6 and area 5 pi/27 ft^2. Find the radius of the circle.
Solution
area of sector A =(1/2)r2 , where r is radius , is central angle
given A =5/27,=5/6
5/27=(1/2)r2(5/6)
1/27=r2(1/12)
r2=12/27
r2=4/9
r=2/3 ft
radius of circle =2/3 ft
