The circle shown below represents a pizza of diameter 16 Usi

The circle shown below represents a pizza of diameter 16. Using cuts, or in this case lines, parallel to the vertical axis, which is the y- axis you are asked to slice the pizza into three slices of equal areas. Find the x coordinates of the points where those cuts are to be made.

Solution

Given Diameter=16

Readius(r)=Diameter/2=16/2=8

Area=r²= 201.06

Three equal parts=Area/3

Area of each part=201.06/3=67.02

Radius of each part:

r²=67.02

r = 4.62

Left part x co-ordinate where cut is to be made = -8 + 4.62 = -3.38

Therefore the point where to cut left part of Pizza is (x,y) = (-3.38,0)

Similarly the point where to cut right part of Pizza is (x,y) = (3.38,0)

MATHEMATICA CODE:

r = 16/2

a = Pi (r^2)

p = a/3

r = Sqrt[p/pi]

lp = -8 + r

rp = 8 - r

Where as lp is left point x value, rp is right point x value where pizza need to be cut.