Question

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 1

For future people, here is what I put

Answer 2

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 7.85. Area of sector is Area of circle/16 Area = pi r^2 A = (3.14)(20^2) A = (3.14)(400) A = 1256 So the area of the sector is 1256/16 or 78.5.