Question

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

Answer 1

Answer:

Option (A)

Step-by-step 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 = $\frac{1}{2}\pi (r^{2})$

                                              = $\frac{1}{2}\pi (5)^2$

                                              = 39.27 square units

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

                                         = $\frac{1}{2}(6)(8)$

                                         = 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.