Question

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded. What is the area of the sector that is not shaded?

Answer 1

Answer:

120Pi units squared

Step-by-step explanation:

Do the math

Answer 2

Answer:

Area of Un-shaded Sector is 376.99

Step-by-step explanation:

From the information given, we can say:

Radius of Circle = 12 (Since KL is radius and KL = 12)

The sector of shaded area covers 60 degrees

Total circle is 360, so unshaded sector is:

360 - 60 = 300 degrees

So, to find Non-Shaded Sector Area, we use sector area formula:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$  is the angle of the sector (in our case, it is 300)

So we substitute and find the answer:

$A=\frac{300}{360}*\pi (12)^2\\A=\frac{5}{6}*\pi*144\\A=120\pi\\A=376.99$

The area is 376.99