Question

A pie company arranges its three-flavor cheesecake sampler into equal-sized slices as shown, where S represents strawberry, C represents chocolate, and P represents plain.

If the pie has a 12-inch diameter, what is the total area of the strawberry portion of the pie, to the nearest tenth of a square inch? Use 3.14 for .

Answer 1

`37.68` square inches

Explanation:

Given:

A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.

Diameter of the pie = 12 inches

To find: total area of the strawberry portion in the pie

Solution:

Diameter of the pie = 12 inches

Radius of the pie (r) = Diameter / 2 =
`(12)/(2)=6` inches

Area of the pie =
`\pi r^2=3.14(6)^2=113.04` square inches

Ratio of the strawberry portion in the pie =
`(2)/(6)=(1)/(3)`

Therefore,

total area of the strawberry portion in the pie =
`(1)/(3)(113.04)=37.68` square inches