Question

From a circular sheet of radius 4 cm, a circle of radius 3 cm is cut out Calculate the area of the remaining sheet after the smaller circle is removed.​

Answer 1

::hope this will help you

Answer 2

Given,

From a circular sheet of radius 4 cm, a circle of radius 3 cm is cut out,

as shown in attachment.

Area of remaining sheet = Area of whole sheet - Area of sheet cut out

= Area of circle of radius 4 cm -  Area of circle of radius 3 cm

As we know

Area of circle =

$\pi r^{2}$

Where r is the radius of respective circle

Thus area of remaining sheet =

$\pi 4^{2} - \pi 3^{2} \\= 16\pi -9\pi$

Taking π common

Area of remaining sheet = π(16-9) = 7π

or

$7(\frac{22}{7} )$ (because π = 22/7)

= 22 cm^2

Thus area of remaining sheet = 22 cm^2