23. Radii of two concentric circles are 26 and 24. A chord of the circle with
larger radius touches the circle with smaller radius. Find the length of the
chord.
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Answer:
To Find: Length of AB.
AB is a tangent to a smaller circle.
Then, OD perpendicular to AB.
By Pythagoras in ∆OAD,
OA2= OD2 + AD2
(26)2 = (24)2 + AD2
AD2=100
AD=√100
AD=10.
Similarly, By Pythagoras theorem...
AD=BD=10
So, AB=AD+BD
AB=10+10= 20 units
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