SOLUTION: Helppp... A circular pizza of radius 12 cm is cut into equal wedge-shaped slices and the angle at the point of each pizza s 40. Calculate : (a) how many slices of pizza are obt

Algebra ->  Circles -> SOLUTION: Helppp... A circular pizza of radius 12 cm is cut into equal wedge-shaped slices and the angle at the point of each pizza s 40. Calculate : (a) how many slices of pizza are obt      Log On


   

Question 907364: Helppp...
A circular pizza of radius 12 cm is cut into equal wedge-shaped slices and the angle at the point of each pizza s 40.
Calculate :
(a) how many slices of pizza are obtained?
(b) the area of each slice of pizza.
(c) the length of the crust in each slice.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The entire area of the pie is
A=pi%2AR%5E2=pi%2812%5E2%29=144picm%5E2
.
.
.
a) Each slice is 40 degrees, the entire pie is 360 degrees, so,
N=360%2F40=9
.
.
b) Each slice is 1/9 the total area,
A%5Bs%5D=A%2F9=%28144pi%29%2F9=16pi
.
.
c) The arc length of a circular sector is,
S=R%2Atheta
where theta is in radians.
There are 2pi radians in 360 degrees so,
theta=40%2A%28%282pi%29%2F360%29
theta=%282%2F9%29pi
So,
S=12%2A%282%2F9%29pi
S=%288%2F3%29picm