Question

The measure of central angle YCZ is 80 degrees. Circle C is shown. Line segments X C, W C, Y C, and Z C are radii. The length of X C is 9. Angle Y C Z is 80 degrees. Sectors X C W and Y C Z are shaded. What is the sum of the areas of the two shaded sectors? 18 units2 36 units2 45 units2 81 units2

Answer 1

Answer:

b.) 36

Step-by-step explanation:

answer on edge 2020

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Answer 2

Answer:

The sum of the areas of the two shaded sectors is $36\pi\ units^{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$r=9\ units$

substitute

$A=\pi (9)^{2}=81 \pi\ units^{2}$

Remember that

$360\°$ subtends the complete circle of area equal to $81 \pi\ units^{2}$

so

By proportion

Find the area of the two shaded sectors

$\frac{81\pi }{360}=\frac{x}{2*80}\\ \\x=160*81\pi/360\\ \\x=36\pi\ units^{2}$