Question of solving a problem on you tube.

wildpig1234

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Apr 10, 2024
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I am trying to solve this youtube problem by using 4 simultanous equations to find the 4 areas being divided up inside the big square. However, it seems like I am not able to get discrete solutions to the 4 simultanous equations.

Here's my 4 equations:

d+c =r^2/4

d+b= r^2-(pi)r^2/8

a+b=r^2-(pi)r^2/4

a+c=(pi)r^2/8

obviously a+b+C+d = r^2


Anyone thinks it's possible to solve this problem with simultanous equations so you don't have to use calculus or trig?
 
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