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\mathrm{\pi }=3.14)$

Answer 1

It is given that side of a square sheet $=$$6cm.$

Area of the square sheet $={\left(side\right)}^2$

$={\left(6\right)}^2$

$=36c{m}^2$

Radius of circle $r=2cm$

Area of a circular sheet which is cut out from a square piece of an aluminium sheet$=\mathrm{\pi }{\mathrm{r}}^2$

$=3.14\times {\left(2\right)}^2$

$=3.14\times 4$

$=12.56c{m}^2$

Area of the remaining sheet $=$ Area of the square sheet $-$ Area of circular sheet

Area of the remaining sheet $=$$36-12.56$

$=$$23.44$

Hence, the area of the remaining sheet is $23.44$ $c{m}^2$