Question

From a circular sheet of radius 10 cm, a circle of radius 6 cm is removed. Find the area of the remaining sheet.

Answer 1

$\huge\fcolorbox{black}{lime}{AnsweR:}$

Radius of circular sheet(R)=10 cm and radius of removed circle(r)=6 cm ,

Area of remaining sheet=Area of circular sheet−Area of removed circle:

$\bold{\pi R^2-\pi r^2=\pi(R^2-r^2)}\\\\\bold{\pi (10^2-6^2)}\\\\\bold{\pi (100-36,)}\\\\\bold{3.14*64=200.96 cm^2}\\\\\bold{Thus, \:the\: area\: of\: remaining\: sheet\: is\: 200.96\:cm^2}$

Answer 2

Answer:

Area of remaining sheet is 201.14sq.cm.

Step-by-step explanation:

Given that

Radius of circular sheet is 10cm

Radius of circle is 6cm

To find

Area of remaining sheet

Solution

As per given statement area of circle is removed by area of circular sheet

as

$area \: of \: circular \: sheet = \pi \times {10}^{2}$

$area \: of \: circular \: sheet = 3.14 \times 100 \\ = 314.159 {cm}^{2}$

now

$area \: of \: circle = \pi \times {6}^{2}$

$area \: of \: circle = 3.14 \times {6}^{2} \\ = 113.01 {cm}^{2}$

now

$area \: of \: remaining \: sheet = 314.159 - 113.01$

hence by subtraction

$area \: of \: remaining \: sheet = 201.14 {cm}^{2}$