A circular carpet whose radius is 106 cm is laid on a circular hall of

1.	A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet.
Answer» Radius of the circular hall R = 120 cm Radius of the circular carpet r = 106 cm Area of the hall uncovered = Area of the hall – Area of the carpet = π(R² – r²) cm² = \(\frac{22}{7}\) x (120² – 106²) cm² = \(\frac{22}{7}\) x (120 + 106) x (120 – 106) cm² = \(\frac{22}{7}\) x 226 x 14 cm² = 9,944 cm² Area of the hall uncovered = 9, 944 cm²

A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet.

Answer»

Radius of the circular hall R = 120 cm

Radius of the circular carpet r = 106 cm

Area of the hall uncovered = Area of the hall – Area of the carpet

= π(R² – r²) cm²

= \(\frac{22}{7}\) x (120² – 106²) cm²

= \(\frac{22}{7}\) x (120 + 106) x (120 – 106) cm²

= \(\frac{22}{7}\) x 226 x 14 cm²

= 9,944 cm²

Area of the hall uncovered = 9, 944 cm²