The area of a sector of a circle with a central angle of 4π/15 rad is 15 m2. Find the radius of the circle. (Round your answer to one decimal place.)

Answer 1

4∏/15=(4*180)/15=4*12=48°

area of a sector :

A=(θ/360)Πr^2

15=(48/360)Πr^2

15=(2/15)∏r^2

multiply both sides by 15

225=2∏r^2

225/2∏=r^2

∏=3.14159

225/(2*3.14159)=r^2

225/6.28318=r^2

35.809892=r^2

r=5.9841367 m

r=6.0 m to one decimal place