Multiple choice

The length of a tangent from an external point to a circle is 5√3 unit. If radius of the circle is 5 units, then the distance of the point from the center of the circle is?

  1. 12 units

  2. 15 units

  3. 10 units

  4. 11 units
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the tangent-radius theorem, the tangent is perpendicular to the radius at the point of contact. So if tangent = 5√3 and radius = 5, then distance = √((5√3)² + 5²) = √(75 + 25) = √100 = 10 units.

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