Question

A) a sector of a circle of radius 25ft has an area of 125square feet. find the central angle of the sector.
B) a potters wheel with radius 8 inches spins at 150 revolutions per minute. Find the angular speed and linear speed of a point on the rim of the wheel.

Answer 1

A) The area of the sector is to the area of the entire circle as the measure of the central angle is to the degrees in the circle, 360.

125/[(pi) (25)^2] = x/360 where x is the measure of the central angle.

Solve for x.