Question

A circle is drawn within a square as shown.

Answer 1

Area of shaded region is 21.5 square centimeter

Solution:

The area of the shaded region is equal to the area of the square minus the area of the circle

Find the area of the square

$Area\ of\ square = a^2$

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

$Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2$

Find the area of circle

The area of the circle is given as:

$Area\ of\ circle = \pi r^2$

Where, "r" is the radius of circle

Diameter = 10 cm

$r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5$

Thus,

$Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2$

Find the area of the shaded region

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter