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The area of a circle is $9 π c m^{2}$ . Its circumference is,

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6 π

36 π

9 π

36 π^{2}

answer is A.

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Detailed Solution

It is given that the area of a circle is

9 π c m^{2}

. We need to find its circumference.
We know that the area of a circle with radius

r

units is

π r^{2}

uni t^{2}

.
By data,

π r^{2} = 9 π

\Rightarrow r^{2} = 9

\Rightarrow r = \sqrt{9}

\Rightarrow r = 3

cm
We know that the circumference of a circle with radius

r

units is

2 πr

units.

\Rightarrow Circumference = 2 πr

\Rightarrow Circumference = 2 \times π \times 3

\Rightarrow Circumference = 6 π

cm.
Therefore, if area of a circle is

9 π c m^{2}

, then its circumference is

6 π

cm.
Hence, the correct option is 1.

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