Question

Find the area of the shaded region. Round your answer to one decimal place if required.
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Answer 1

Answer:

98.2 square meters

Step-by-step explanation:

Area of shaded region = area of right triangle + area of semicircle ( r = 4 m)

$= \frac{1}{2} \times base \times height + \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times 12 \times 8 + \frac{1}{2} \times 3.14 \times {4}^{2} \\ = 6 \times 8 + 3.14 \times 16 \\ = 48 + 50.24 \\ = 98.24 \\ = 98.2 \: {m}^{2}$