angsoccer02
28.03.2020 •
Mathematics
Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?
One
Two
Three
Four
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Ответ:
Hence, the area of shaded region is:
Step-by-step explanation:
We have to find the area of the smaller sectors that subtend an angle of 60° degree in the center.
Since the area of shaded portion is the area of circle excluding the area of smaller sectors.
We know that area of a sector is given as:
where φ is the angle in radians subtended to the center of the circle.
and r is the radius of the circle.
Now area of one sector with 60° angle is:
Firstly we will convert 60° to radians as:
Hence, area of 1 sector is:
Now, area of 2 sector is:
Hence, the area of shaded region is: