precal question

Question

This exercise involves the formula for the area of a circular sector.

The area of a sector of a circle with a central angle of 150° is 68 m².

 Find the radius of the circle. (Round your answer to one decimal place.)

 m

Answer 1

We have for a circular sector: Area = πr^2 (C/360); Evaluate (C/360) = (150/360) = 0.416666 so that

r = sqrt(area/(π(0.416666))) = 7.2m