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 circular pepperoni pizza that is approximately the same thickness as Carly’s pizza using the same amount of dough, what should be the diameter of Kyle’s circular pan?  Please round your answer to the nearest tenth of an inch.


Thanks for helping!

Expert Answers

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For this question, you need to find the area of the rectangular pan of pizza first.  As you know, you find the area of a rectangle by multiplying the two sides by one another.  In this case, that is 12*16 = 192.

Then you have to figure the area of a circle.  The equation for that is area = pi*r^2 where r is the radius of the circle.

So we know the area and we know pi so our equation is

192 = 3.14(r^2).

We divide both sides by 3.14 and we get

61.14 = r^2

Take the square root of 61.14, which is 7.8.

So the circular pan needs to be 7.8 inches in radius or 15.6 inches in diameter.

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