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I am not sure how to solve a question

 
 
DuanYuehan的头像
I am not sure how to solve a question
DuanYuehan - 2022年06月26日 Sunday 22:31
 

Question 6.17:

Two tangent circles are drawn with centers AA and BB in isosceles right triangle △ABC△ABC.


Using the approximation π≈227π≈227 the area inside the triangle but outside the two circles is PQPQ of the entire triangle. What is P+QP+Q?

am i missing something? I'm not sure how to solve it as my original idea was to solve for area of circle and calculate how much the triangle has thats inside the circle, but the question doesn't provide area of circle. 

 
LensmireJohn的头像
Re: I am not sure how to solve a question
LensmireJohn - 2022年06月27日 Monday 12:24
 

The wording is a little confusing here, but the end goal is to find what fraction (written as P/Q) of the triangle is outside the two circles.

That is, our final answer should be (area of the region inside the triangle but outside the two circles) / (total area of the triangle).

Since the final answer is this fraction / ratio, you can actually pick convenient numbers for AB or AC, etc. and go from there.

Hope this helps!

 
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