Find the area $ A $ of a circle if circumference $C = 64$.
Answer
$A = 103.7529\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ C = 2 \cdot r \cdot \pi $$After substituting $ C = 64 $ we have:
$$ 64 = 2 \cdot r \cdot \pi $$ $$ r = \dfrac{ 64 }{ 2 \pi } $$ $$ r \approx 10.1859 $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = r^2 \cdot \pi $$After substituting $ r = 10.1859 $ we have:
$$ A = 10.1859^2 \cdot \pi $$ $$ A = 103.7529 \cdot \pi $$This page was created using
Circle Calculator