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December 19, 2014

December 19, 2014

Posted by **Kathy** on Wednesday, June 30, 2010 at 9:12am.

1. Find the area of the whole pizza.

a=(pi)(10^2), =314

2. What is the area of one piece of pizza?

(pi)(r^2)/16, 100(pi)/16=19.6

3. What is the area of a half-piece?

100(pi)/36=10

4. What would the area of the whole pizza be if it were made of half pieces?

a=10(pi), a=100/10, a=10

5. What is the radius of a half-piece? (ie, where do I need to cut to make two equal halves out of a piece?)

I was wondering if I got these answers correct. If I did not, could someone please explain what I did wrong?Also, I was a little confused as to how to get the answer to the last question. Cheers!

- Geometry -
**Reiny**, Wednesday, June 30, 2010 at 9:28amI agree with 1. and 2.

In 3.

why are you dividing by 36.

If by the "area of a half-piece" you mean half the area of one of the 16 slices, then it would be

100π/32

I do not understand question #4

5. I will assume that your cut will be an arc.

so let the radius of that small piece be r

so πr^2 = (1/2)(19.6)

r = √(9.82/π) = 1.77 inches

If your cut is a straight line such that the smaller piece is an isosceles triangle, then the question would be a bit more difficult.

- Geometry -
**Reiny**, Wednesday, June 30, 2010 at 9:35amMy answer to #5 is wrong,

go with bobpursley's way

- Correction - Geometry -
**Reiny**, Wednesday, June 30, 2010 at 9:39amin #5

I will assume that your cut will be an arc.

so let the radius of that small piece be r

so πr^2/16 = (1/2)(19.6)

r = 7.1 inches

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