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 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?

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