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.

Answer 1

the radius the wheel (circle) is 15 ft a circle is equal to 360° so
1the central angle is: 5/360=24°
the circumference is: 2 π 24= 150.7ft
The arc is: 150.7/24= 6.28ft
The area of sector is: = 1/20 * Area of circle
= 1/20 * pi * (25)^2
= 98.17 feet^2
I hope that this is helpful :)