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  1. 9Similar triangles, shadows
  2. 10Similar triangles, area ratio
  3. 1230-60-90 triangle sides
  4. 14Angle of elevation, right triangle
  5. 18Inscribed angle theorem
  6. 19Angle in a semicircle
  7. 21Equal tangent lengths
  8. 22Chord distance from centre
  9. 26Interior angles of an octagon
  10. 30Area and side of a rhombus
  11. 31Prism volume and surface area
  12. 33Volume and slant height of cone
  13. 40Perpendicular bisector
  14. 41Area of triangle by coords
  15. 42Circle, completing the square

22Chord distance from centre

A chord of length 16 cm is in a circle of radius 10 cm. How far is the chord from the centre?

The chord sits 6 cm from the centre. Half the 16 cm chord is 8 cm, and with the radius 10 cm as hypotenuse, Pythagoras gives d = √(10² − 8²) = √36 = 6 cm. Check: 8² + 6² = 100 = 10² ✓.

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