Question

Find the area of the sector.



a. 11.16 in²

b. 44.66 in²

c. 50.24 in²

d. 2.8 in²

Answer 1

Hi!

Circle Area Formula

$A=\pi r^2$

We will start by solving for the area of the entire figure.

Plugin the values into the circle area formula. We will use 3.14 for pi:

$A=3.14(4)^2$

Simplify:

$A=50.24$

Now, this is the area of the entire circle, but we only want that certain shaded region.

We know that a circle has a total of 360 degrees, and the shaded sector is simply 80 degrees.

We can divide to see how much of the circle is shaded:

80 / 360 = 0.22...

Now, we can take this number and multiply it by 50.24 (our answer from above) to get the area of the shaded sector:

0.22 * 50.24 = 11.16

Therefore, your answer is A.

For a similar problem, see:

https://brainly.com/question/11952845