Question

A circular pizza with a diameter of 12 inches is cut along radii into three wedge-shaped slices. The measure of two of the central angles are 80 degrees and 130 degrees. What is the number of square inches in the area of the largest slice? (express your answer in terms of pi)

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Answer 1

A = 15π in²

Explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr² → A = π(6 in)² = 36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²