Circles: Chords, Tangents and Secants — Engineering Board Exam Practice Questions

6 free engineering board exam reviewer questions on Circles: Chords, Tangents and Secants (Plane Geometry), each with the correct answer and a worked solution.

1. Two chords AB and CD of a circle intersect at a point P inside the circle. If AP=6, PB=8, and CP=4, find PD.
2. From an external point P, a tangent PT and a secant PAB are drawn to a circle (A nearer to P). If PT=12 and PA=8, find PB.
3. Two secants from an external point P intersect a circle: one at A and B (with PA=5, AB=7), the other at C and D (with PC=6). Find PD.
4. 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…
5. Find the length of a tangent drawn from a point 13 cm from the center of a circle with radius 5 cm.
6. Two circles are tangent externally. Their radii are 4 cm and 9 cm. Find the distance between their centers.