Question

Find the diameter of a circle with an area of 240.25π square millimeters. Round to the nearest tenth.

Answer 1

D = 31 mm

Explanation:

The area of a circle, A = 240.25π sq mm

We need to find the diameter of a circle.

The formula for the area of a circle is given by :

`A=\pi r^2\\\\r=\sqrt{(A)/(\pi)}`

If D is the diameter of the circle, D = 2r

So,

`(D)/(2)=\sqrt{(A)/(\pi)} \\\\D=2* \sqrt{(A)/(\pi)} \\\\=2* \sqrt{(240.25\pi )/(\pi)}\\\\=2* 15.5\\\\=31\ mm`

So, the diameter of the circle is equal to 31 mm.