Question

8. A circle of radius 3 cm is cut out from a square piece of an aluminium sheet of side 6 cm What is the
area of the left over aluminium sheet? (Take = 3.14)​

Answer 1

Step-by-step explanation:

$radius \: of \: circle = 3cm \\ area \: of \: cirle \: = \pi {r}^{2} \\ \: \: \: \: \: \: \: \: \: = 3.14 \times 3 \times 3 \\ \: \: \: \: \: = 3.14 \times 9 \\ \: \: \: \: \: \: = 28.26 {cm}^{2} \\ \\ \\ side \: of \: aluminium \: sheet \: = 6cm \\ \: area \: of \:aluminium \: \\ sheet \: ( square) = ({side})^{2} \\ \: \: \: \: \: \: \: = {6}^{2} \\ \: \: \: \: \: \: \: = 36 {cm}^{2} \\ - - - - - - - - - - \\ area \: of \: the \: left \: over \\ \: aluminium \: sheet \\ = total \: area \: of \: aluminium \\ \: sheet - area \: of \: circle \\ = (36 - 28.26) {cm}^{2} \\ \: \: \: \: \: = 7.74 {cm}^{2} ans$