Question

Find the AreaA. 314.2 IN2B. 1256.6 IN2C. 31.4 IN2D. 62.8 IN2

Answer 1

Given:

Diameter = 20 in

Find-:

Area of circle

Explanation-:

The area of circle is:

`A=\pi r^2`

The radius of circle is:

`r=(D)/(2)`

Where,

`\begin{gathered} r=\text{ Radius} \\ \\ D=\text{ Diameter} \end{gathered}`

So the radius of given circle is:

`\begin{gathered} D=20\text{ in} \\ \\ r=(D)/(2)\text{ in} \\ \\ r=(20)/(2)\text{ in} \\ \\ r=10\text{ in} \end{gathered}`

The area of circle is:

`\begin{gathered} A=\pi r^2 \\ \\ A=\pi(10)^2 \\ \\ A=100\pi \\ \\ A=314.159 \\ \\ A=314.2\text{ in}^2 \end{gathered}`

So, the area of a circle is 314.2