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 = r2  2 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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