The area of a sector of a circle with a central angle of 4π/15 rad is 19 m2. Find the radius of the circle. (Round your answer to one decimal place.)

Question

The area of a sector of a circle with a central angle of 4π/15 rad is 19 m². Find the radius of the circle. (Round your answer to one decimal place.)

Answer 1

A = 0.5r²θ

19 = 0.5r²(4π/15)

38 = r²(4π/15)

142.5 = πr²

45.35915878 = r²