Segment lengths from chords, secants and tangents

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Noah cuts two crossing straight lines on a round pizza. Chords CF and DG of circle O cross at H. How long is HG, in cm?

   14
2. 2.

   Pia draws two crossing chords on a clock face. Chords CF and DG of circle O cross at H. How long is HG, in cm?

   10
3. 3.

   Tala sews two crossing stripes on a round rug. Chords CF and DG of circle O cross at H. How long is HG, in cm?

   6
4. 4.

   Zee maps a round pond and a bench at Q. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?

   49
5. 5.

   Ari draws lines from Q to a round gear. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?

   121
6. 6.

   Bo stretches strings from Q to a drum. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?

   27
7. 7.

   Esme lays straws from Q across a round tray. QC is tangent to circle O, and a secant from Q passes through D and F. How long is the whole secant QF, in cm?

   49
8. 8.

   Jun maps two paths from Q across a round pond. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?

   12
9. 9.

   Luz draws two lines from Q across a clock face. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?

   12
10. 10.

    Milo lays two strings from Q across a round rug. Secants QCD and QGF meet at Q, outside circle O. How long is the whole secant QF, in cm?

    8