Find the area $ A $ of a circle if circumference $C = \frac{ 251 }{ 8 }$.
Answer
$A = 24.9349\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ C = 2 \cdot r \cdot \pi $$After substituting $ C = \frac{ 251 }{ 8 } $ we have:
$$ \frac{ 251 }{ 8 } = 2 \cdot r \cdot \pi $$ $$ r = \dfrac{ \frac{ 251 }{ 8 } }{ 2 \pi } $$ $$ r \approx 4.9935 $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = r^2 \cdot \pi $$After substituting $ r = 4.9935 $ we have:
$$ A = 4.9935^2 \cdot \pi $$ $$ A = 24.9349 \cdot \pi $$This page was created using
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