A circle was inscribed in the square. We draw a semicircle above each side of the square as above the diameter. This resulted in four chips.
Which is bigger: the area of the middle square or the area of the four chips?

Correct answer:

S1 =  1
S2 =  1

Step-by-step explanation:

a=1 S1=a2=12=1
r1=a/2=1/2=21=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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