Circle and square

An ABCD square with a side length of 100 mm is given. Calculate the circle's radius that passes through vertices B, C, and the center of the side AD.

Correct answer:

r =  62.5 mm

Step-by-step explanation:

a=100 mm r2=x2+(a/2)2 r+x=a  r2=(ra)2+(a/2)2  r2=r22 ra+a2+(a/2)2  2 r a=a2+(a/2)2  r=2 aa2+(a/2)2  r=85 a=85 100=85 100=8500=2125 mm=62.5 mm

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