Question

a circle of radius 2cm 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?​

Answer 1

Question

a circle of radius 2cm 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?

Solution

Radius of circle=2 cm

side of aluminium square sheet=6 cm

According to question,

Area of aluminium sheet left=Total area of aluminium sheet−Area of circle

$=side×side−π {r}^{2}$

$= 6 \times 6 - \frac{22}{7} \times 2 \times 2$

$= 36 - \frac{88}{7}$

$= 36 - 12.56$

$=23.44 {cm}^{2}$

Therefore, the area of aluminium sheet left is 23.44cm².