Worksheets — Set 4

Geometry · Honors · Circle theorems and arc measures

Print and write your answers. Use diagrams to show thinking.

Warm-up

1. Central angle 135°. Arc measure? ___ 2. Inscribed angle intercepting arc 130°. Measure? ___ 3. Arc length: radius 11, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 120°. Arc measure? ___ 2. Inscribed angle intercepting arc 120°. Measure? ___ 3. Arc length: radius 10, central angle 90°. ___ 4. Chord distance from center: radius 9, chord length 12. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 165°. Arc measure? ___ 8. Inscribed angle intercepting arc 150°. Measure? ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Arc length: radius 13, central angle 90°. ___ 2. Chord distance from center: radius 12, chord length 15. Distance? ___ 3. Central angle 210°. Arc measure? ___ 4. Inscribed angle intercepting arc 180°. Measure? ___ 5. Arc length: radius 16, central angle 90°. ___ 6. Chord distance from center: radius 15, chord length 18. Distance? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Central angle 375°. Arc measure? ___ 2. Inscribed angle intercepting arc 290°. Measure? ___ 3. Arc length: radius 27, central angle 90°. ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Mark central and inscribed angles on diagrams