Periodic Functions and Trigonometry

A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165degrees. To the nearest tenth, what is the measure of the intercepted arc between those two cars on the Ferris wheel?

Question

Periodic Functions and Trigonometry

A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165degrees. To the nearest tenth, what is the measure of the intercepted arc between those two cars on the Ferris wheel?

anonymous · Answer

Area of a circular sector is half the square of the radius multiplied by the angle in radians
$$=80^{2}/2\times165\times \pi/180$$
=298.6 sq feet