Find the diameter $ d $ of a circle if circumference $C = \frac{ 146 }{ 5 }$.
Answer
$d = 9.2946$
Explanation
STEP 1: find radius $ r $
To find radius $ r $ use formula:
$$ C = 2 \cdot r \cdot \pi $$After substituting $ C = \frac{ 146 }{ 5 } $ we have:
$$ \frac{ 146 }{ 5 } = 2 \cdot r \cdot \pi $$ $$ r = \dfrac{ \frac{ 146 }{ 5 } }{ 2 \pi } $$ $$ r \approx 4.6473 $$STEP 2: find diameter $ d $
To find diameter $ d $ use formula:
$$ d = 2 \cdot r $$After substituting $ r = 4.6473 $ we have:
$$ d = 2 \cdot 4.6473 $$ $$ d \approx 9.2946 $$This page was created using
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