The area of sector is 7.48 square units
Solution:
Given that circle has radius 3
Central angle = [tex]\frac{9}{17} \pi[/tex] radians
To find: area of sector
The area of a sector of a circle is:
[tex]\text{Area of sector } = \frac{1}{2} r^2 \theta[/tex]
Where, "r" is the radius of circle and [tex]\theta[/tex] is the angle in radians
Substituting the values in formula,
[tex]\text{Area of sector } = \frac{1}{2} \times 3^2 \times \frac{9}{17 } \times \pi\\\\\text{Area of sector } = \frac{1}{2} \times 9 \times \frac{9}{17} \times 3.14\\\\\text{Area of sector } = 7.48[/tex]
Thus the area of sector is 7.48 square units
