Question

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

A circle is shown with a central angle marked 45 degrees and the diameter marked 15 feet.

What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Answer 1

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Answer:

22.09 ft²

Explanation:

The area of a circle is given by the formula ...

A = πr² . . . . where r is the radius, half the diameter

The slice, at 45°, is 1/8 of the circle, so the area of the slice is ...

A = (1/8)π(15 ft/2)² = 225π/32 ft² ≈ 22.09 ft²