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

Two circles are tangent externally. Their radii are 4 cm and 9 cm. Find the distance between their centers.

  1. 13 cm
  2. 5 cm
  3. 36 cm
  4. 6.5 cm

Answer

A. 13 cm

Solution

For externally tangent circles, the distance between centers =r1+r2=4+9=13 cm.

More Circles: Chords, Tangents and Secants questions

  1. Two circles with radii 5 and 12 have centers 13 units apart. Find the length of their common chord.
  2. Two tangents are drawn from a point P to a circle of radius 6, and the angle between the tangents is 60°. Find the distance from P to the…
  3. Two circles of radii 8 and 3 touch each other externally. Find the length of their common external tangent.
  4. A chord of length 8 is drawn in a circle of radius 5. Find the height of the circular segment (the sagitta) cut off by the chord.
  5. In a circle of radius 5, two parallel chords of lengths 6 and 8 lie on the same side of the center. Find the distance between them.
  6. A chord 24 cm long lies in a circle of radius 13 cm. Find the distance from the center to the chord, in cm.
  7. From an external point P, a secant meets a circle at A and B with PA=4 and PB=16 (measured from P to each intersection). Find the length…
  8. Chords AB and CD intersect at P inside a circle with AP=6, PB=8 and CP=4. Find PD.
  9. A chord 8 cm long is 3 cm from the center of a circle. Find the radius of the circle in cm.
  10. A point is 13 units from the center of a circle of radius 5. Find the length of the tangent from the point to the circle.

All Circles: Chords, Tangents and Secants questions