31. The radil of two concentric circles are 41 cm and 40 cm. A chord of the circle with
bigger radius touches the circle with smaller radius. Find the length of that chord.
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Given
The radil of two concentric circles are 41 cm and 40 cm. A chord of the circle with bigger radius touches the circle with smaller radius. Find the length of that chord.
Answer
OC=40cm,OB=41cm
OC⊥AB since AB is tangent to the smaller circle .
⟹AC+BC
In △OCB
=+
⟹=-=818×1
⟹BC=9cm
⟹AB=2BC=18cm
Hence the answer is 18cm
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