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 has the concentric circle while touching this chord?

Correct answer:

r2 =  4 cm

Step-by-step explanation:

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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