A sector of circle C shown below has a radius of 6 centimeters and a central angle that measures 80 degrees. Which expression below correctly calculates the area of this sector in square centimeters

The area of the sector is 8*pi cm² or 25.13272 cm².

Step-by-step explanation:

In order to calculate the area of a circular sector we can apply a rule of three in such a way that the circle's area, pi*r²  cm², is related to 360º in such a way that "x" cm² is related to the angle of the sector. We have:

pi*r² cm² > 360º

x cm² > 80º

pi*r²/x = 360/80

360*x = 80*pi*r²

x = 80*pi*r²/360

x = 80*pi*(6)²/360

x = 80*pi*36/360

x = 8*pi cm²

The area of the sector is 8*pi cm² or 25.13272 cm².

the answer is c. 23/3