A carnival ride is in the shape of a wheel with a radius of 25 feet. The wheel has 20 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.
First we need to calculate parameter of the wheel. r = 25 feet P = 2*r*pi = 157.08 a) central angle is easy to calculate. Full circle has 360 degrees and if we divide that by 20 cars we get 360/20 = 18 degrees between 2 cars b) Arc length we will calculate by dividing parameter with number of cars. P/20 = 7,85 feet c) Wheel has area of A = r^2 * pi = 1963.50 feet^2 if we divide A with number of cars we get area of sector between 2 cars. A/20 = 98.17 feet^2