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(09.04 MC)
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 :

Central angle  = 360 / 24  = 15 degrees

ARc length =  r * theta,    where theta is the angle in radians  and r = radius
                  = 15 * 15 * pi/180  
                  =  3.93 feet to nearest hundredth.

Area of sector =  area of circle / 24  = pi*15^2 / 24 =  29.45 ft^2 

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