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.

Question

samgrace · Answer

Central angle will be 360 degrees divided by 24, right?

Then the arc length, s, is equal to this angle times by the radius.

The sector area in radians in then 1/2 * theta * r^2,
in degrees this is theta/360 * pi * r^2.

anonymous · Answer

WHAT WILL BE THE THETA ? 24 ?

samgrace · Answer

no, 360 degrees of the circle divided by  the 24 cars around its perimeter, assuming the cars are equally spaced.

anonymous · Answer

I'M NOT GETTING THIS CAN YOU GIVE ME THE ANSWER