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The area of a circle is 36π in². What is the circumference, in inches? Express your answer in terms of \piπ.

Sagot :

Answer:

[tex]12\pi in[/tex]

Step-by-step explanation:

We are given that

Area of circle=[tex]36\pi in^2[/tex]

We have to find the circumference of circle in inches.

We know that

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

Using the formula

[tex]36\pi=\pi r^2[/tex]

[tex]r^2=36[/tex]

[tex]r=\sqrt{36}=6[/tex] in

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

Circumference of circle=[tex]2\pi (6)=12\pi in[/tex]

Hence, the circumference of circle=[tex]12\pi in[/tex]

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