Square and circles

Square with sides 62 mm is circumscribed and inscribed with circles. Determine the radiuses of both circles.

Correct answer:

r =  31 mm
R =  43.84 mm

Step-by-step explanation:

a=62 mm r=a/2=62/2=31 mm
a2+a2 = (2R)2 2a2 = 4R2 a=2 R  R=r 2=31 2=31 2=43.84 mm



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