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AB is a tangent to a circle at B. O is the centre of the circle. If the circle radius is 40 mm and AB = 150 mm, calculate the length of AO.

3329Medium DSSSB TGT Computer Science 0 replies 1 views
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AB is a tangent to a circle at B. O is the centre of the circle. If the circle radius is 40 mm and AB = 150 mm, calculate the length of AO.

  • A57.30 mm
  • B96.2 mm
  • C155.2 mm
  • D235.6 mm
Correct answer: C

Explanation

The tangent AB is perpendicular to the radius OB, so AO = √(150² + 40²) = √24100 ≈ 155.2 mm.
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