Question

Find the diameter of a circle that has an area of 254.34 mm2.

Answer 1

Given:

Area of a circle = 254.34 mm^2

Let's find the diameter.

First Step: Use the formula for area of a circle to find the radius of the circle.

`\text{Area = }\pi r^2`

where

Area = 254.34

r = radius

π = 3.14

Let's find the radius:

Rewrite the formula for r

`\begin{gathered} A\text{ = }\pi r^2 \\ \\ r=\sqrt[]{(A)/(\pi)} \end{gathered}`
`\begin{gathered} r\text{ = }\sqrt[]{(254.34)/(3.14)} \\ \\ \text{ =}\sqrt[]{81}=\text{ 9} \end{gathered}`

Radius of the circle = 9 mm

We know that diameter = radius x 2

Therefore

diameter of the circle = 9 x 2 = 18 mm

ANSWER:

diameter = 18 mm