Find the diameter $ d $ of a circle if area $A = \frac{ 2011 }{ 10 }$.
Answer
$d = 16.0015$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
After substituting $ A = \frac{ 2011 }{ 10 } $ we have:
$$ A = r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \frac{ 2011 }{ 10 } $$ $$ r = \sqrt{ \frac{ \frac{ 2011 }{ 10 } }{\pi} } $$ $$ r \approx 8.0007 $$STEP 2: find diameter $ d $
To find diameter $ d $ use formula:
$$ d = 2 \cdot r $$After substituting $ r = 8.0007 $ we have:
$$ d = 2 \cdot 8.0007 $$ $$ d \approx 16.0015 $$This page was created using
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