Question

Find the diameter of the circle with an area of 14π squared inches. Round to the nearest hundredths. Please solve using this formula: Area= πr^2r=radius

Answer 1

Given:

Area of the circle

`A=14\pi\text{ in.}^2`

Required:

To find the diameter of the circle.

Step-by-step explanation:

The area of the circle is given by the formula:

`A=\pi r^2`

Where r = radius of the circle

Put the given value of A.

`\begin{gathered} 14\pi=\pi r^2 \\ r^2=14 \end{gathered}`

Take the square root on both sides.

`\begin{gathered} r=√(14) \\ r=3.741\text{ in.} \end{gathered}`

Now the diameter D= 2r

`\begin{gathered} D=2\text{ }*3.741 \\ D=7.482\text{ in.} \end{gathered}`

Final answer:

The diameter of the circle D= 7.482 in,