Question

A circular piece of radius 2 cm is cut from a rectangle sheet of length 5 cm and breadth 3 cm. Find the area left in the sheet.

Answer 1

Radius of the portion removed r = 2 cm 

Area of the circular sheet = πr² sq.units 

= \(\frac{22}{7}\) x 2 x 2 cm² 

= \(\frac{88}{7}\) cm² 

= 12.57 cm² 

Length of the rectangular sheet L = 5 cm 

Breadth of the rectangular sheet B = 3 cm 

Area of the rectangle = L x B sq. units

= 5 x 3 cm² 

= 15 cm² 

Area of the sheet left over = Area of the rectangle – Area of the circle 

= 15 cm² – 12.57 cm² 

= 2.43 cm²