Worksheets — Set 17

Geometry · Honors · Circle theorems and arc measures

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

Warm-up

1. Central angle 330°. Arc measure? ___ 2. Inscribed angle intercepting arc 260°. Measure? ___ 3. Arc length: radius 24, central angle 90°. ___

_See printable PDF for diagram._

Written practice

1. Central angle 315°. Arc measure? ___ 2. Inscribed angle intercepting arc 250°. Measure? ___ 3. Arc length: radius 23, central angle 90°. ___ 4. Chord distance from center: radius 22, chord length 25. Distance? ___ 5. Tangent radius relationship: angle measure? ___ 6. Label a diagram with arc and angle measures. 7. Central angle 360°. Arc measure? ___ 8. Inscribed angle intercepting arc 280°. Measure? ___

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More written practice

1. Arc length: radius 26, central angle 90°. ___ 2. Chord distance from center: radius 25, chord length 28. Distance? ___ 3. Central angle 405°. Arc measure? ___ 4. Inscribed angle intercepting arc 310°. Measure? ___ 5. Arc length: radius 29, central angle 90°. ___ 6. Chord distance from center: radius 28, chord length 31. Distance? ___

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Patterns and rules

1. Central angle 570°. Arc measure? ___ 2. Inscribed angle intercepting arc 420°. Measure? ___ 3. Arc length: radius 40, central angle 90°. ___

_See printable PDF for diagram._

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Stretch

1. Central angle 690°. Arc measure? ___ 2. Inscribed angle intercepting arc 500°. Measure? ___

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Parent tip: Mark central and inscribed angles on diagrams