Question

, find the area of the shaded region. [Use n = 3.14.]



Solve this​

Answer 1

Answer:

72.665 m²

Step-by-step explanation:

BD² = DA² + AB² (Pythagoras theorem)

⇒ BD² = (5² + 12²) m²

⇒ BD² = 25 + 144 = 169 m²

∴ BD = +13 m

Radius of the circle = $\frac{BD}{2}$ = $\frac{13}{2}$ or 6.5

Area of the shaded region = Area of the circle - Area of the rectangle

∴ Area of the shaded region = [$\pi$(r)² - (l)(b)] m²

⇒ (3.14)(42.25) - (12)(5)

⇒ 132.665 - 60

⇒ 72.665 m²

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