Worksheets — Set 10

Geometry · Honors · Circle theorems and arc measures

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

Warm-up

1. Central angle 225°. Arc measure? ___ 2. Inscribed angle intercepting arc 190°. Measure? ___ 3. Arc length: radius 17, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 210°. Arc measure? ___ 2. Inscribed angle intercepting arc 180°. Measure? ___ 3. Arc length: radius 16, central angle 90°. ___ 4. Chord distance from center: radius 15, chord length 18. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 255°. Arc measure? ___ 8. Inscribed angle intercepting arc 210°. Measure? ___

___________________________ ___________________________ ___________________________ ___________________________

More written practice

1. Arc length: radius 19, central angle 90°. ___ 2. Chord distance from center: radius 18, chord length 21. Distance? ___ 3. Central angle 300°. Arc measure? ___ 4. Inscribed angle intercepting arc 240°. Measure? ___ 5. Arc length: radius 22, central angle 90°. ___ 6. Chord distance from center: radius 21, chord length 24. Distance? ___

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Patterns and rules

1. Central angle 465°. Arc measure? ___ 2. Inscribed angle intercepting arc 350°. Measure? ___ 3. Arc length: radius 33, central angle 90°. ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________

Parent tip: Mark central and inscribed angles on diagrams