Find the area $ A $ of a circle if diameter $d = \frac{ 51 }{ 5 }$.
Answer
$A = \frac{ 2601 }{ 100 }\pi$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ d = 2 \cdot r $$After substituting $ d = \frac{ 51 }{ 5 } $ we have:
$$ \frac{ 51 }{ 5 } = 2 \cdot r $$ $$ r = \dfrac{ \frac{ 51 }{ 5 } }{ 2 } $$ $$ r = \frac{ 51 }{ 10 } $$STEP 2: find area $ A $
To find area $ A $ use formula:
$$ A = r^2 \cdot \pi $$After substituting $ r = \frac{ 51 }{ 10 } $ we have:
$$ A = \left(\frac{ 51 }{ 10 }\right)^2 \cdot \pi $$ $$ A = \frac{ 2601 }{ 100 } \cdot \pi $$This page was created using
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