Worksheets — Set 11

Geometry · Honors · Circle theorems and arc measures

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

Warm-up

1. Central angle 240°. Arc measure? ___ 2. Inscribed angle intercepting arc 200°. Measure? ___ 3. Arc length: radius 18, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 225°. Arc measure? ___ 2. Inscribed angle intercepting arc 190°. Measure? ___ 3. Arc length: radius 17, central angle 90°. ___ 4. Chord distance from center: radius 16, chord length 19. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 270°. Arc measure? ___ 8. Inscribed angle intercepting arc 220°. Measure? ___

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More written practice

1. Arc length: radius 20, central angle 90°. ___ 2. Chord distance from center: radius 19, chord length 22. Distance? ___ 3. Central angle 315°. Arc measure? ___ 4. Inscribed angle intercepting arc 250°. Measure? ___ 5. Arc length: radius 23, central angle 90°. ___ 6. Chord distance from center: radius 22, chord length 25. Distance? ___

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Patterns and rules

1. Central angle 480°. Arc measure? ___ 2. Inscribed angle intercepting arc 360°. Measure? ___ 3. Arc length: radius 34, central angle 90°. ___

_See printable PDF for diagram._

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Parent tip: Mark central and inscribed angles on diagrams