Answer:
99.6 cm²
Explanation:
You want to know the area of a sector that has radius 6 cm, and subtends an arc of 317°.
Sector area
The formula for the area of a sector is ...
A = 1/2r²θ . . . . . . where θ is the central angle in radians
Application
A = 1/2(6 cm)²(317·π/180) ≈ 99.6 cm²
The area of the sector is about 99.6 square centimeters.