Question

Find the diameter of the circle with an area of 14π squared inches. Round to the nearest hundredth. This is geometry(:

Answer 1

Given:

The area of the circle is,

`A=14\pi in^2`

To find:

The diameter of the circle.

Step-by-step explanation:

The formula of the area of the circle is,

`A=\pi r^2`

On substitution we get,

`\begin{gathered} 4\pi=\pi r^2 \\ r^2=4 \\ r=2 \end{gathered}`

Then the diameter is,

`\begin{gathered} d=2r \\ d=2(2) \\ d=4in \end{gathered}`

Final answer:

The diameter of the circle is 4 inches.