Author Topic: A good "geometry" problem  (Read 8126 times)

Jane Chen

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A good "geometry" problem
« on: August 11, 2010, 07:43:28 PM »
Two circles intersect as shown in the figure below. The larger circle has a radius of 20 and the smaller circle radius has a radius of 15. What is the positive difference between the shaded areas?  



Click the picture to get a bigger view.

« Last Edit: August 11, 2010, 07:58:11 PM by Jane Chen »

shama

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Re: A good "geometry" problem
« Reply #1 on: September 04, 2010, 07:27:44 PM »
I am not sure. First reflection is the big circle area minus the small area, no relation to the white area.

shela516

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Re: A good "geometry" problem
« Reply #2 on: September 06, 2010, 12:07:45 PM »
Well, this question is only confusing most people, but it can't be any simpler than the difference of two circle. You can think x as the area shaded blue, y as the area shaded red, and z as the area intersected by those two circles. An simple question as x-y=? When you add z to both sides, it become what is the difference of the two circles whose radius is 15 and 20. The area of a circle is pi* r squared. That means the difference is 20 square*pi – 15 square*pi, in which is 400pi – 225pi, is 175pi. Approximating pi as 22/7, the answer would be 550. Or approximating pi a 3.14, the answer would be 549.5.



 by Lyman Shen

海棠花儿

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Re: A good "geometry" problem
« Reply #3 on: September 30, 2010, 10:09:18 AM »
我非常的惭愧的发现, 我居然没做出来。。看了解答才知道。。。。。  :-X