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A Ferris wheel has 20 spokes. Find the a...

A Ferris wheel has `20` spokes. Find the angle between two consecutive spokes.

A

`18^(@)`

B

`20^(@)`

C

`22^(@)`

D

`14^(@)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the angle between two consecutive spokes on a Ferris wheel with 20 spokes, we can follow these steps: ### Step-by-Step Solution 1. **Understand the Total Angle of a Circle**: A complete circle makes an angle of 360 degrees. 2. **Identify the Number of Spokes**: We are given that the Ferris wheel has 20 spokes. 3. **Determine the Angle Between Consecutive Spokes**: Since the spokes are evenly spaced, the angle between two consecutive spokes can be calculated by dividing the total angle of the circle by the number of spokes. \[ \text{Angle between two consecutive spokes} = \frac{\text{Total angle of the circle}}{\text{Number of spokes}} = \frac{360 \text{ degrees}}{20} \] 4. **Perform the Calculation**: \[ \frac{360}{20} = 18 \text{ degrees} \] 5. **Conclusion**: The angle between two consecutive spokes is 18 degrees.
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