Answer:
A ≈ 25.1 cm²
Step-by-step explanation:
The area (A) of the shaded region is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]
= π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex] ← cancel π and 2π by π
= 36 × [tex]\frac{\frac{4\pi }{9} }{2}[/tex]
= 18 × [tex]\frac{4\pi }{9}[/tex]
= 2 × 4π
= 8π ≈ 25.1 cm² ( to 1 dec. place )
