An arc measures 50°in a circle with a radius of 8 cm. What is the area of the sector to the nearest tenth of a square centimeter?
a.57.6m(squared)
b. 27.9m (squared)
c. 175m(squared)
d.7.0cm(squared)

Step-by-step explanation:

The total area of the circle is given by:

where is a constant

and is the radius:

Thus the total area of this circle is:

We want only the area of the arc that measures 50°. For this we must remember that the arc of the total circle is 360°.

Thus, we want 50° out of the 360° degrees in the circle. For this, we divide the total area by 360 and then we multiply by 50:

the area of the sector to the nearest tenth is

the answer is $42.96

step-by-step explanation: