Tuesday, November 4, 2014

I need help on a math question.Carly makes a rectangular pepperoni pizza using a 12-inch by 16-inch rectangular pan. If Kyle wants to make a...

When the thickness of the pizza as well as the amount of
dough used for the rectangular and the circular pizzas are same, the areas of the pizza
will also be same.


The area of rectangular pizza of 12" x
16" is given by the formula:


Area of rectangle = A = Width
x Length = 12 x 16 = 192 sq.inch


The area of a circle is
given by:


Area of circle = A = (pi/4) x
d^2


Where: d = diameter of
circle


Therefore diameter of circular pizza with area = A
is given by:


d = [A/(pi/4)]^1/2 = 2 x
(A/pi)^1/2


Value of A = 192 and pi is a constant with value
3.141


Therefore:


d = = 2 x
(192/3.141)^1/2 = 2 x 7.818 = 15.636 =
15.6"


Answer:


Diameter of
circular pan = 15.6"

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