A sector with a central angle measure of 4pi/5

(in radians) has a radius of 5 cm.

What is the area of the sector?

Answer: the area is 20 square centimeters.

Step-by-step explanation:

The area of an arc of angle x in a circle of radius r is:

A = (x/3.14) * 3.14*r^2 = x*r^2

here we have x = (4/5) * 3.14 and r = 5cm

Then the area is:

A = (4/5) * (5cm) ^2 = 20cm^2