Two circles 3

Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle.

Correct answer:

r2 =  0.3431 cm

Step-by-step explanation:

a=4 cm  a = d1 = 2 r1  r1=a/2=4/2=2 cm  u2 = a2+a2  u=2 a=2 4=4 2 cm5.6569 cm  x1=u/2r1=5.6569/220.8284 cm  q=r1x1=20.82840.4142  u/2 = r1 + r2 + r2  + x2   u/2 = r1 + r2 + r2  + q r2  (2+q) r2 = u/2r1  r2=2+qu/2r1=2+0.41425.6569/22=0.3431 cm



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