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Find the radius of a circle with the given circumference. 6√2(raised to pi) in. r = 3 in. 3√2 in. 6 in. 12√2 in.

Respuesta :

Your answer should be 3to2

Answer:

Option (b) is correct.

Radius of circle is [tex]3\sqrt{2}[/tex] inches.    

Step-by-step explanation:

 Given : The Circumference of circle is [tex]6\sqrt{2}\pi[/tex] inches.

We have to find the radius of the give circle.

Consider the circumference of circle is [tex]6\sqrt{2}\pi[/tex] inches.

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

Comparing both terms,

We have,

[tex]2\pi r=6\sqrt{2}\pi[/tex]

Divide both side by π , we get,

[tex]2r=6\sqrt{2}[/tex]

Divide both side by 2, we get,

[tex]r=3\sqrt{2}[/tex]

Thus, radius of circle is [tex]3\sqrt{2}[/tex] inches.