Question

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.

Answer 1

Your answer should be 3to2

Answer 2

Option (b) is correct.

Radius of circle is
`3√(2)` inches.

Explanation:

Given : The Circumference of circle is
`6√(2)\pi` inches.

We have to find the radius of the give circle.

Consider the circumference of circle is
`6√(2)\pi` inches.

Also, Circumference of circle =
`2\pi r`

Comparing both terms,

We have,

`2\pi r=6√(2)\pi`

Divide both side by π , we get,

`2r=6√(2)`

Divide both side by 2, we get,

`r=3√(2)`

Thus, radius of circle is
`3√(2)` inches.