That's a circle less what's called a segment, the white part of the circle.
The circle has area A = πr² = π(8.35)²
The circular sector formed by the 100° angle is a fraction of A so has area
S = (100/360) A
The isosceles triangle in the sector has two sides that are radii and an included 100° angle so area
T = (1/2) ab sin θ = (1/2) (8.35)(8.35) sin 100°
The circular segment has area S-T so the area of the pink region is
P = A - (S-T) = A+T-S = π(8.35)² + (1/2) (8.35)² sin 100° - (100/360) π(8.35)²
= (8.35)²(π -(100/360)π + (1/2) sin 100°)
= (8.35)²((260/360)π + (1/2) sin 100°)
I hate ruining a nice exact answer with an approximation, but they asked.
≈ 192.527 square feet
Answer: 192.5