Question

The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π.

Answer 1

Answer is 121π^2/4 square inches

Answer 2

Area of the circle =
`11\pi inches^2`

Explanation:

Circumference of a circle=
`2*\pi *r`

For circumference=
`11\pi` inches

`11\pi =2\pi r\\\\11=2r\\\\r=11/2\\\\r=5.5 inches`

For radius= 5.5 inches

Area of the circle=
`2\pi r`

`=2*\pi*5.5\\\\=11.0\pi`

`Area=11\pi inches2`

The area of the circle is
`11\pi inches^2`