Q. 24.4( 25 Votes )

Two concentric circles of radii 5 cm and 3 cm are drawn. Find the length of the chord of the larger circle which touches the smaller circle.

Answer :

AB = AF = 5cm radius of larger circle

AD = AC = 3cm radius of smaller circle

Pythagoras theorem

AF2 = AD2 + DF2

52 = 32 + DF2

252 = 92 + DF2

DF = 4 units

Length of chord = 2 × DF = 2 × 4 = 8cm

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