Chords, Secants and Tangents Worksheet with Answer Key

What's on the worksheet

1. Say whether each named segment or line is a chord, diameter, radius, secant or tangent.
2. Decide whether a line is a secant, tangent or misses a circle, and find the chord length.
   r = 13,\ d = 12r = 9,\ d = 9r = 4,\ d = 4.5\text{diameter } 34,\ d = 8r = 7,\ d = 3
3. Find how far the cut is from the center of a 30 cm round cake.
4. Find the depth of water in a level drain pipe with a flat surface 80 cm wide.
5. Find distances and chord lengths for a line and three circles with the same center.
6. Find the values of k for which a horizontal line cuts off a chord of length 8.
7. Find the foot of the perpendicular and decide whether y = 2x + 5 is a secant, tangent or misses.
8. Explain why a student cannot have drawn an 11 cm chord in a circle of radius 5 cm.