To find the radius (r) of a circle with a given circumference (C), you can use the formula for circumference:
\[ C = 2\pi r \]
Given:
- \( C = 282.6 \) ft
- \( \pi \approx 3.14 \)
We can rearrange the formula to solve for the radius (r):
\[ r = \frac{C}{2\pi} \]
Substituting the values:
-
Calculate \( 2\pi \):
\[ 2\pi \approx 2 \times 3.14 = 6.28 \]
-
Now substitute this into the formula for r:
\[ r = \frac{282.6}{6.28} \]
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Perform the division:
\[ r \approx 44.93 , \text{ft} \]
Therefore, the radius (r) of the circle is approximately 44.93 feet.