Flakes

A circle was described on the square, and a semicircle above each side of the square was described. This created 4 "flakes".
Which is bigger: the content of the central square or the content of four chips?

Correct result:

S1 =  1
S2 =  1

Solution:

a=1 S1=a2=12=1a=1 \ \\ S_{1}=a^2=1^2=1
r1=a/2=1/2=12=0.5 r2=2/2 a=2/2 10.7071  S3=4π r12/2=4 3.1416 0.52/21.5708 S4=π r22=3.1416 0.707121.5708  S2=S3S4+S1=1.57081.5708+1=1



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

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