Question

A circle of radius $2cm$ is cut out from a square piece of an aluminium sheet of side$6cm$. What is the area of the left over aluminium sheet? (Take $\pi =3.14$)

Answer 1

From the given details we get to know that

Radius of circle $=2cm$

Square sheet side $=6cm$

Find out

We have to determine the area of the left over aluminium sheet

Solution

We know that

$Areaofthesquare=sid{e}^2$

$=6^2=36c{m}^2$

${\text{Area of the circle = πr}}^2$

$$\begin{gathered} =3.14\times 2^2 \\ =3.14\times 2\times 2 \\ =3.14\times 4=12.56c{m}^2 \end{gathered}$$

Also

$\text{The area of the remaining part = Area of aluminum square sheet – area of circle}$

$$\begin{gathered} =36–12.56 \\ =23.44c{m}^2 \end{gathered}$$

Answer

The area of remaining sheet$=23.44c{m}^2$