Question

Find the circumference of a circle with an area of 254.47 square inches

Answer 1

circumference is 56.55in

Answer 2

A circle with an area of 254.47 square inches is given.

We have to determine the circumference of the circle.

Since, Area of circle =
`\Pi r^(2)` where r is the radius of the circle.

`\Pi r^(2)=254.47`

`(22)/(7) * r^(2)=254.47`

`r^(2)=(254.47 * 7)/(22)`

`r^(2)=80.97`

`r=√(80.97)`

r = 8.99

Therefore, r = 9 inches (approximately)

Circumference of a circle =
`2\Pi r`

=
`2 * (22)/(7) * 9`

= 56.57 inches

= 56.6 inches (approximately).

Therefore, the circumference of the circle is 56.6 inches.