Two concentric circlles are of radii (3x + 5) and (2x - 4) cm (x > 0). Length of the chord of the outer circle which touches the inner circle 48 cm. Find the radii of the two circles.

Let the radius of the bigger circle be (3x + 5) and radius of the smaller circle is (2x - 4)

Since the perpendicular from the centre to the chord bisects the chord.

So apply Pythagoras theorem in order to get,

So radius of bigger circle = 3(7) +5 = 26 units

Radius of smaller circle = 2(7) - 4 = 10 units

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