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 42 degrees and the diameter marked 30 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

Question

Mathematics

Harper Perez

14 August, 09:51

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 42 degrees and the diameter marked 30 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth?

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Answers (1)

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Keyon Blevins · Answer 1

The area of circle's sector is A = (1/2) x Txr²

where Teta = 42 degrees = 42/180Pi = 7Pi / 30

r = 30/2 = 15ft, r² = 125

so the areo of the slice of pie that was cut is A = (7Pi / 60) x 125 = 45.79 ft²