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The area of a circle is 121π in². What is the circumference, in inches? Express your answer in terms of \piπ.
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The answer should be 38.99

The circumference of the circle is 22π.

What is the area of the circle?

The area of the circle is given by;

[tex]\rm Area \ of \ circle=\pi r^2[/tex]

The area of a circle is 121π in².

The circumference of the circle is;

[tex]\rm Circumference =2\pi r[/tex]

The area of the circle is;

[tex]\rm Area \ of \ circle=\pi r^2\\\\121\pi =\pi r^2\\\\r^2=121\\\\r^2=11^2\\\\r=11[/tex]

The circumference of the circle is;

[tex]\rm Circumference =2\pi r\\\\Circumference =2\pi \times 11 \\\\Circumference =22\pi[/tex]

Hence, the circumference of the circle is 22π.

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