Answer:
The area of the sector is 26.69
Explanation:
First of all we need to calculate the area
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (3)²
a = 3.14 * 9
a = 28.26
The area of the circle is 28.26
A complete circle has 2pi radians
We divide 17/9 pi by 2pi and obtain the fraction of the total circle
(17pi/9) / 2pi = 17/18
we multiply this fraction with the area of the circle and obtain the area of the sector
28.26 * 17/18 = 12.43cm
The area of the sector is 26.69