Question

Roy made a pizza that is 12 inches in diameter. He knows he can eat about 84.8 in, at what angle should Roy cut the pizza in radians? Round your answer to the tenths place.

Answer 1

Cutting angle in radian θ = 3π / 2

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