5) Suppose a slice of a 12-inch pizza has an area of 20 square inches. What is the angle of this slice?

The angle of slice is approximately 16°.

Step-by-step explanation:

The slice of pizza represent the sector of a circle.

The area of a sector is:

Here,

r = radius of the circle

Φ = angle in radians

Given:

A = 20 inches²

r = 12 inch

Compute the angle of the slice as follows:

The angle us 0.2778 radians.

Convert the angle into degrees as follows:

Thus, the angle of slice is approximately 16°.

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