A carnival ride is in the shape of a wheel with a radius of 30 feet. The wheel has 30 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

aveline · Answer

We know that a circle has 360°
We also know that 30 cars are attached to the center of the wheel
Therefore, the central angle for each car is 12°

Arc length is equal to:
$$arc length=2*\pi*r*\frac{ degrees }{ 360 }$$

We substitute 30 for r and 12 for degrees.

Does your teacher want you to approximate pi for 3.14 or not?

aveline · Answer

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