Question

In the figure below, one side of the right triangle is a diameter of the semicircle.

10 units
6 units
8 units
What is the approximate total area of the shaded part of the figure?

Answer 1

Option (A)

Explanation:

One side of the given triangle is a diameter of the semicircle given.

Measure of the diameter = 10 units

Total area of the semicircle =
`(1)/(2)\pi (r^(2))`

=
`(1)/(2)\pi (5)^2`

= 39.27 square units

Area of the right triangle =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(6)(8)`

= 24 square units

Area of the shaded region = Area of the semicircle - Area of the right triangle

= 39.27 - 24

= 15.27 square units

≈ 15 square units

Therefore, option (A) will be the answer.