Question

If the area of a circle is 58 square feet, find the circumference

Answer 1

C≈27 feet

Explanation:

A=πr²

A/π=r²

√A/π =r or –√A/π=r (refused)

then r =√(A/π) =√(58/π) =4.297829403 feet

C=2πr=2π(4.297829403)=27.00405856≈27 feet

Answer 2

Circumference of required circle = 27.0021 feet.

Solution:

Given that area of circle = 58 square feet

We need to find the circumference

Circumference of circle =
`2\pi r` where r is radius.

We don’t have radius in given information but we do have area of circle.

So first need to calculate radius of a circle from given area.

`Area of circle = \pi r^(2)`

where “r” is radius of circle.

`58=\pi r^(2)`

`r^2= (58 * 7)/22=18.4545`

So we get

r = square root of 18.4545 = 4.2958 feet

Circumference of circle =
`2 \mathrm{\pi r}`

= 2
`((22)/(7))` (4.2958) = 27.0021 feet.

Hence circumference of required circle = 27.0021 feet.