Question

Please check my work

Answer 1

A carnival ride is in the shape of a wheel with a radius of 20 feet. The wheel has 16 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 2

My work:

The central angle will be 360/16 or 22.5.

The arc length will be Circumference/16.

Circumference = 2 pi r

C = (2)(3.14)(20)

C = (6.28)(20)

C = 125.6

So the arc length is 125.6.

Area of sector is Area of circle/16

Area = pi r^2

A = (3.14)(20^2)

A = (3.14)(400)

Answer 3

A = 1,256