Engineering Board Exam Reviewer · Circles: Chords, Tangents and Secants · medium

A tangent segment from an external point to a circle measures 15 cm, and the distance from the external point to the center is 17 cm. Find the radius of the circle.

  1. 8 cm
  2. 9 cm
  3. 6 cm
  4. 10 cm

Answer

A. 8 cm

Solution

The tangent is perpendicular to the radius at the point of tangency: r2+152=172 r2=64 r=8 cm.

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