Multiple choice

The radius of a circle is 8 cm. An external point is at a distance of 10 cm. from the centre.The length of the tangent drawn to the circle from the external point is -

  1. 6 cm.

  2. 8 cm.

  3. 9 cm.

  4. 10 cm.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

For a circle with radius r and an external point at distance d from center, the tangent length t satisfies t² + r² = d² (tangent-radius theorem). Here t² + 8² = 10², so t² = 100-64=36, giving t=6 cm. Option A is correct.

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