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

The sum of the areas of the two shaded sectors is

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a circle is equal to

where

r is the radius of the circle

in this problem we have

substitute

Remember that

subtends the complete circle of area equal to

so

By proportion

Find the area of the two shaded sectors

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: