Question

2. In the following Fig.,
find the area of
the shaded
portion.
​

Answer 1

Answer:

Radius of circle is 7 cm.

24, 7 and 25 form a Pythagorean triplet.

So the triangle is right angled.

Area of the triangle

=1/2 × 24 × 7

=84 cm^2

Area of larger semicircle

= π × 7 × 7

=22/7 × 7 × 7

=22 × 7

=154 cm^2

Area of smaller semicircle

=22/7 × 7/2 × 7/2

=38.5 cm^2

So total area

=84 + 154 - 38.5

=238 - 38.5

=199.5 cm^2