Multiple choice

Find the length of the tangent drawn from a point whose distance from the centre of a circle is 25 cm.Given that the radius of the circle is 7cm.

  1. 12 cm

  2. 18 cm

  3. 24 cm

  4. 28 cm
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Tangent from external point P to circle with center O: if OP = 25 cm (distance from center) and radius = 7 cm, then tangent length T = sqrt(OP^2 - r^2) = sqrt(25^2 - 7^2) = sqrt(625 - 49) = sqrt(576) = 24 cm. Option C correct.

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