Question

A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel. What is the central angle, arc length, and area of a sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive credit.
Do not write sentences unless absolutely necessary.

Answer 1

Answer:

central angle = 360/24 = 15°

arc length = 15/360 * 2π * 15 = 1.25π = 3.93 feet.

Area of a sector = 15/360 * π * (15)^2 = 9.375π = 29.45 square feet

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