Multiple choice

If a chord of a circle of the radius 5 cm. is a tangent to a circle of radius 3 cm., both the circle being cocentric, then the length of the chord is -

  1. 5.6 cm.

  2. 7.3 cm.

  3. 8.0 cm.

  4. 9.0 cm.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For concentric circles with radii 5 cm and 3 cm, a chord of the outer circle tangent to the inner circle creates a right triangle from the center to the tangent point. Half chord = √(5² - 3²) = √16 = 4 cm, so full chord = 8 cm. This uses the tangent-radius perpendicular property and Pythagorean theorem.

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