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 rad
ians? Round your answer to the tenths place.
1 answer:
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
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Hello,
Please, see the detailed solution in the attached file.
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