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.

Final Answer:

r =  62.5 mm

Step-by-step explanation:

a=100 mm r2 = x2 + (a/2)2 r+x=a  r2 = (r−a)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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You need to know the following knowledge to solve this word math problem:

algebraplanimetricsUnits of physical quantitiesGrade of the word problem

 
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