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Use the circle to represent the following situation and show how you came up with the answer.

For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make

Use the circle to represent the following situation and show how you came up with-example-1

1 Answer

3 votes

Answer:

Angle of slice (θ) = 172° (Approx.)

Explanation:

Given:

Area of pizza slice = 16 inch²

Total area of pizza = 33.49 inch²

Find:

Angle of slice (θ)

Computation:

Area of circle = [π][r²]

Area of pizza slice = [π][r²]

[π][r²] = 33.49

[3.14][r²] = 33.49

Radius = 3.26 inch (Approx.)

Area of sector = [θ/360][π][r²]

16 = [θ/360][3.14][3.26²]

16 = [θ/360][3.14][10.6276]

16 = [θ/360][33.37]

Angle of slice (θ) = 172° (Approx.)

User Robert Seifert
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