Question

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 1

Answer:

uncovered area=9944 sq.cm

Step-by-step explanation:

uncovered area =π(R^2 - r^2)

=π(R+r)(R-r)

so,22/7(120+106)(120-106)

=22/7*(226)*(14)

=22*226*2

=9944sq.cm.

Answer 2

Answer:

The area of the hall uncovered by the carpet is 9934.96 cm square.

Step-by-step explanation:

Given : A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm.

To find : The area of the hall uncovered by the carpet ?

Solution :

The radius of circular hall is 120 cm.

The area of the circular hall is $A=\pi R^2$

$A_H=\pi (120)^2$

$A_H=14400\pi$

The radius of circular hall is 106 cm.

The area of the circular carpet is $A=\pi r^2$

$A_C=\pi (106)^2$

$A_C=11236\pi$

The uncovered area is $A=A_H-A_C$

$A=14400\pi-11236\pi$

$A=(14400-11236)\pi$

$A=3164\times 3.14$

$A=9934.96\ cm^2$

The area of the hall uncovered by the carpet is 9934.96 cm square.