Answer:
Angle of slice (θ) = 172° (Approx.)
Step-by-step explanation:
Given:
Area of pizza slice = 16 inch²
Total area of pizza = 33.49 inch²
Find:
Angle of slice (θ)
Computation:
Area of circle = [π][r²]
Area of pizza slice = [π][r²]
[π][r²] = 33.49
[3.14][r²] = 33.49
Radius = 3.26 inch (Approx.)
Area of sector = [θ/360][π][r²]
16 = [θ/360][3.14][3.26²]
16 = [θ/360][3.14][10.6276]
16 = [θ/360][33.37]
Angle of slice (θ) = 172° (Approx.)
