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