Question

In the following figure, the circle centered at $N$ has a radius of $4$. What is the area of the shaded region?

• A. $3\pi$
• B. $6\pi$
• C. $9\pi$
• D. $12\pi$
• E. $16\pi$

Answer 1

Answer: (D)

$12\pi$

We know,
Area of a circle is $=\pi r^2$
Given, $r=4$
Since $\frac{3}{4}$ of the circle is shaded, so area of the shaded region will be $=\pi \times 4\times 4\times \frac{3}{4}=12\pi$.