Answer:
A
Step-by-step explanation:
The area (A ) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{x}{2\pi }[/tex] ( x is the measure of the central angle ) , thus
π × 6² × [tex]\frac{x}{2\pi }[/tex] = 26π
36π × [tex]\frac{x}{2\pi }[/tex] = 26π (cancel 36π and 2π )
18x = 26π ( divide both sides by 18 )
x = [tex]\frac{26\pi }{18}[/tex] = [tex]\frac{13\pi }{9}[/tex] → A
