Question

find the area of shaded region

Answer 1

HERE IS YOUR ANSWER

HOPE IT HELPS YOU.

Answer 2

We can Notice that ABC is One Quarter of Circle of Radius 8 units

First Let us Find this Area of One Quarter of the Circle

We know that Area of Circle is given by : πr²

⇒ Area of the Circle is π × 8² = 64π

⇒ Area of One Quarter of the Circle is :  $\frac{64\pi}{4} = 16\pi$

Now let us Find the Area of Semi-Circle with Diameter 8 units

⇒ Radius of Semi-Circle = 4 units

⇒ We know that Area of the Semi-Circle is given by :  $\frac{\pi r^2}{2}$

⇒ Area of Semi-Circle =  $\frac{\pi \times 4^2}{2} = 8\pi$

Now let us Find the Area of Small Circle with Diameter 4 units

⇒ Radius of Small Circle = 2 units

⇒ Area of the Small Circle = π × 2² = 4π

Now Subtracting the Area of Semi-Circle and Small Circle from the Area of One Quarter of the Circle we get, the Area of the Shaded Region.

⇒ Area of the Shaded Region = 16π - (8π + 4π) = 16π - 12π = 4π

Option C is the Answer