Concentric circles

In the circle with diameter 19 cm is constructed chord 9 cm long. Calculate the radius of a concentric circle that touches this chord.

Result

r =  8.367 cm

Solution:

(19/2)2=r2+(9/2)2 r=(19/2)2−(9/2)2=8.367 cm(19/2)^2 = r^2 + (9/2)^2 \ \\ r = \sqrt{ (19/2)^2 - (9/2)^2} = 8.367 \ \text{cm}

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