Given:
radius(R) = 12 units
arc = 134°
Find: area of sector
Plan: if you think about it, a sector area is a fractional part of the full area of the circle. It’s a pie piece.
A(circle) = π R^2
134° is 134°/360° = 67/180 That is 67/180 th of the full circle
area (S) = 67/180 (π R^2)
S = 67/180 (π )(12^2) = 67/180(144 π) = 54 π units^2 or
≈ 54(3.1416) ≈ 168.389 units^2
Double Check: ✅ ✅
Answer: 18 π units^2 or 168.39 units^2 approximately
