Parts of the circle

Tier: #Higher

How to

Knowing the correct vocabulary for parts of a circle is essential — questions regularly ask you to name, identify, or use specific parts.

Key terms:

  • Centre — the fixed point equidistant from every point on the circle
  • Radius — a straight line from the centre to the circumference (plural: radii)
  • Diameter — a chord that passes through the centre; always twice the radius
  • Circumference — the perimeter of the circle ($C = \pi d = 2\pi r$)
  • Chord — a straight line joining any two points on the circumference (not necessarily through the centre)
  • Arc — a portion of the circumference between two points
  • Sector — a "slice" of the circle bounded by two radii and an arc (like a pie slice)
  • Segment — the region between a chord and the arc it cuts off
  • Tangent — a straight line that touches the circumference at exactly one point; always perpendicular to the radius at that point

Common error: confusing a sector (bounded by two radii) with a segment (bounded by a chord and an arc).

Questions to practise
📝Past paper questions
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