Answer:
Cutting angle in radian θ = 3π / 2
Step-by-step explanation:
Given:
Diameter of pizza = 12 inch
He can eat = 84.8 inch²
Find:
Cutting angle in radian
Computation:
Radius of pizza = Diameter of pizza / 2
Radius of pizza = 12 / 2
Radius of pizza = 6 inch
Area of sector = [θ/360][πr²]
Area of sector = [θ/360][(π)(6)²]
84.8 = [θ/360][(π)(36)]
θ = 270°
θ = 270[π/180]
θ = 27π / 18
Cutting angle in radian θ = 3π / 2
