Question

In the figure, angle ZYX is measured in degrees. The area

Answer 1

Answer:

the answer is A on e2020

Step-by-step explanation:

Answer 2

Answer:

The central angle measure of the sector divided  by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector

Step-by-step explanation:

we know that

The formula to calculate the area of sector is equal to

$A_s=\frac{x}{y}A_c$

where

$A_s$ ----> is the area of sector    

$x$ ----> is the central angle measure of the sector in degrees

$y$  ---> total angle measure of a circle in degrees

$A_c$ ---> represent the area of the circle

see the attached figure to better understand the problem

we have

$x=m\angle ZYX=\theta^o$ ----> central angle of sector ZYX

$y=360^o$ ----> total angle measure of a circle in degrees

$A_c=\pi r^{2}$ ---> represent the area of the circle

substitute in the formula

$A_s=\frac{\theta^o}{360^o} (\pi r^{2})$

therefore

The central angle measure of the sector divided  by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector