Answer:
565.49 cm2
Explanation:
The area of a circle is given by:
Area = pi * r^2
And the whole area represents a central angle of 2pi.
Then, to find the area of this sector, we just need to use a rule of three:
area of pi * r^2 -> central angle of 2pi
area of x -> central angle of 8pi/5
x * 2pi = pi * r^2 * 8pi/5
2x = r^2 * 8pi/5
x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2