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

Two circles of radii 8 and 3 touch each other externally. Find the length of their common external tangent.

  1. 11
  2. 5
  3. 4.9
  4. 9.8

Answer

D. 9.8

Solution

The centers are 8+3=11 apart. t=sqrt(d2-(r1-r2)2)=sqrt(121-25)=sqrt(96)=4 6 9.80.

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