Question

Please help the question is in the picture.

Answer 1

Answer:

$\text{A. }\frac{5}{6}\pi x^2$

Step-by-step explanation:

The area of a sector with measure $\theta$ is equal to $r^2\pi\cdot \frac{\theta}{360}$

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

• $\theta$ of $300^{\circ}$
• $r$ of $x$

Thus, the area of the sector is $x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}$