Concentric circles and chord

In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius have the concentric circle while touch this chord?

Correct result:

r2 =  4 cm

Solution:

d=10 cm t=6 cm  r1=d/2=10/2=5 cm  r12=r22+(t/2)2  r2=r12−(t/2)2=52−(6/2)2=4 cm

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