Find the area $ A $ of a circle if diameter $d = 6 \sqrt{ 2 }$.
Answer
$A = 18\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = 6 \sqrt{ 2 } $ we have:
$$ 6 \sqrt{ 2 } = 2 \cdot r $$ $$ r = \dfrac{ 6 \sqrt{ 2 } }{ 2 } $$ $$ r = 3 \sqrt{ 2 } $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = r^2 \cdot \pi $$After substituting $ r = 3 \sqrt{ 2 } $ we have:
$$ A = \left(3 \sqrt{ 2 }\right)^2 \cdot \pi $$ $$ A = 18 \cdot \pi $$This page was created using
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