SOLUTION: a slice of pizza has a central angle of 75 degrees and a radius of 8 inches. find the exact length of the crust of this piece of pie

Algebra ->  Trigonometry-basics -> SOLUTION: a slice of pizza has a central angle of 75 degrees and a radius of 8 inches. find the exact length of the crust of this piece of pie      Log On


   

Question 936139: a slice of pizza has a central angle of 75 degrees and a radius of 8 inches.
find the exact length of the crust of this piece of pie
Found 2 solutions by nerdybill, TimothyLamb:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a slice of pizza has a central angle of 75 degrees and a radius of 8 inches. find the exact length of the crust of this piece of pie
.
circumference = 2(pi)r = 2(3.14)8 = 50.24 inches
.
assuming the "crust" is the outer edge of the pizza:
length of crust = 75/360 * circumference
length of crust = 75/360 * 50.24
length of crust = 10.47 inches

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
c = 2*pi*r
c = 2*3.1415*8
c = 50.264
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arc = c*75/360
arc = 50.264*75/360
arc = 10.472 inches
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