Please help me out with this

Answer:
76.9 in²
Step-by-step explanation:
The area (A) of any sector in a circle is
A = area of circle × fraction of circle
= πr² × [tex]\frac{77}{360}[/tex]
= π × 10.7² × [tex]\frac{77}{360}[/tex]
= [tex]\frac{10.7^2(77)\pi }{360}[/tex] ≈ 76.9 in²