Worksheets — Set 6

Geometry · Honors · Circle theorems and arc measures

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

Warm-up

1. Central angle 165°. Arc measure? ___ 2. Inscribed angle intercepting arc 150°. Measure? ___ 3. Arc length: radius 13, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 150°. Arc measure? ___ 2. Inscribed angle intercepting arc 140°. Measure? ___ 3. Arc length: radius 12, central angle 90°. ___ 4. Chord distance from center: radius 11, chord length 14. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 195°. Arc measure? ___ 8. Inscribed angle intercepting arc 170°. Measure? ___

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More written practice

1. Arc length: radius 15, central angle 90°. ___ 2. Chord distance from center: radius 14, chord length 17. Distance? ___ 3. Central angle 240°. Arc measure? ___ 4. Inscribed angle intercepting arc 200°. Measure? ___ 5. Arc length: radius 18, central angle 90°. ___ 6. Chord distance from center: radius 17, chord length 20. Distance? ___

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Patterns and rules

1. Central angle 405°. Arc measure? ___ 2. Inscribed angle intercepting arc 310°. Measure? ___ 3. Arc length: radius 29, central angle 90°. ___

_See printable PDF for diagram._

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Parent tip: Mark central and inscribed angles on diagrams