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Q.

What are chord, diameter, and radius of a circle?

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Detailed Solution

  • Radius (r): Segment from the center to any point on the circle; all radii are equal. Circumference C=2πrC = 2\pi rC=2πr, area A=πr2A = \pi r^2A=πr2.
  • Diameter (d): Longest chord passing through the center; d=2rd = 2rd=2r.
  • Chord: Any segment joining two points on the circle; the perpendicular from the center bisects a chord. For a chord length ccc at distance xxx from center: c=2r2−x2c = 2\sqrt{r^2 - x^2}c=2r2−x2.
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