Question

Find the circumference given the area = 113.1 ft². Use 3.14 for π as necessary.

Answer 1

The circumference of the circle is 37.69ft

Answer 2

The circumference of the circle is 37.68 ft

Explanation:

Given,

The area of the circle is 113.1 sq ft

To find the circumference of the circle we need to find the radius of the circle first

Formula

The area of circle with radius r is = π
`r^(2)` sq unit

The circumference of circle with radius r is = 2πr unit

Let us take the radius of the circle is r ft

According to the problem,

π
`r^(2) =113.1`

or,
`r^(2) = (113.1)/(3.14)`

or,
`r^(2) = 36.01 = 36 (approx)`

or, r =
`√(36)`

or, r = 6

Now,

The circumference of the circle is 2×3.14×6 ft = 37.68 ft