Worksheets — Set 5

Geometry · Honors · Circle theorems and arc measures

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

Warm-up

1. Central angle 150°. Arc measure? ___ 2. Inscribed angle intercepting arc 140°. Measure? ___ 3. Arc length: radius 12, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 135°. Arc measure? ___ 2. Inscribed angle intercepting arc 130°. Measure? ___ 3. Arc length: radius 11, central angle 90°. ___ 4. Chord distance from center: radius 10, chord length 13. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 180°. Arc measure? ___ 8. Inscribed angle intercepting arc 160°. Measure? ___

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More written practice

1. Arc length: radius 14, central angle 90°. ___ 2. Chord distance from center: radius 13, chord length 16. Distance? ___ 3. Central angle 225°. Arc measure? ___ 4. Inscribed angle intercepting arc 190°. Measure? ___ 5. Arc length: radius 17, central angle 90°. ___ 6. Chord distance from center: radius 16, chord length 19. Distance? ___

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Patterns and rules

1. Central angle 390°. Arc measure? ___ 2. Inscribed angle intercepting arc 300°. Measure? ___ 3. Arc length: radius 28, central angle 90°. ___

_See printable PDF for diagram._

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Parent tip: Mark central and inscribed angles on diagrams