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Chord Length

Length of a chord from radius and central angle

Formula

chord = 2r sin(θ/2)

Length of a chord from radius and central angle

Example

  • r = 10
  • θ = 60°
  • chord = 2×10×sin(30°) = 10
Result 10
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Grade 9 Chord Length Grade 10 Chord Length

Grade 10 · Chord Length

Easy 20 questions Worksheet #98304 For Chord Length

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Grade 10 · Chord Length

Easy · 20 questions · Worksheet #98304 · Chord Length

Name: ________________________

Date: ______________ Score: ______

  1. fill Chord length: r = 12, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  2. fill Chord length: r = 5, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  3. fill Chord length: r = 5, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  4. fill Chord length: r = 12, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  5. fill Chord length: r = 6, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  6. fill Chord length: r = 10, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  7. fill Chord length: r = 10, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  8. fill Chord length: r = 8, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  9. fill Chord length: r = 10, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  10. fill Chord length: r = 5, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  11. fill Chord length: r = 8, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  12. fill Chord length: r = 6, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  13. fill Chord length: r = 8, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  14. fill Chord length: r = 6, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  15. fill Chord length: r = 12, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  16. fill Chord length: r = 5, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________
  17. fill Chord length: r = 5, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  18. fill Chord length: r = 12, central angle θ = 120°. (chord = 2r sin(θ/2))
    ______________________________
  19. fill Chord length: r = 8, central angle θ = 90°. (chord = 2r sin(θ/2))
    ______________________________
  20. fill Chord length: r = 6, central angle θ = 60°. (chord = 2r sin(θ/2))
    ______________________________

Updated July 2026

FAQs

What is Chord Length?

Chord Length (chord length) is a circles relationship written as Length of a chord from radius and central angle or chord = 2r sin(θ/2). Students use it to solve unknowns when enough values are known.

How do you calculate Chord Length step by step?

Write Length of a chord from radius and central angle, substitute the known numbers carefully, then simplify. Worked walkthrough: r = 10 θ = 60° chord = 2×10×sin(30°) = 10.

When is Chord Length taught in school?

Chord Length usually appears in circles units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.

What is a real example of Chord Length?

On this page the worked result is 10. Generate a formula worksheet below for more unique practice sets.

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