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The diameter of a semicircle is 8 meters. What is the semicircle's radius?d=8 m

Question

The diameter of a semicircle is 8 meters. What is the semicircle's radius?

d = 8 m

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Solution

1. Break Down the Problem

To find the radius of a semicircle, we first need to understand the relationship between the diameter and the radius. The radius is half the length of the diameter.

2. Relevant Concepts

The formula to find the radius r r from the diameter d d is given by: r=d2 r = \frac{d}{2}

3. Analysis and Detail

Given that the diameter d=8 d = 8 meters, we will substitute this value into the formula: r=8m2 r = \frac{8 \, \text{m}}{2}

4. Verify and Summarize

Calculating the value: r=4m r = 4 \, \text{m} This calculation confirms that the radius is derived correctly from the diameter.

Final Answer

The radius of the semicircle is 4 4 meters.

This problem has been solved

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