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Joshua Humphrey
Circumference and Area of arCircle
May 03, 5:47:18 PM
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The area of a circle is \( 36 \pi \mathrm{cm}^{2} \). What is the circumference, in centimeters? Express your answer in terms of \( \pi \).
\( \oplus \Theta \)
Answer: \( C= \) \( \mathrm{cm} \)
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Answer

\( C = 12\pi \mathrm{cm} \)

Steps

Step 1 ：\( A = 36\pi \mathrm{cm}^{2} \)

Step 2 ：\( A = \pi r^{2} \)

Step 3 ：\( r = \sqrt{\frac{36\pi}{\pi}} \)

Step 4 ：\( r = 6 \mathrm{cm} \)

Step 5 ：\( C = 2\pi r \)

Step 6 ：\( C = 12\pi \mathrm{cm} \)