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Summaries · Grade 7 Maths › Circles: radius, diameter and circumference
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Circles: radius, diameter and circumference

Centre, radius, diameter, circumference, chord, arc, sector and segment of a circle. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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The parts of a circle

rdradius (r): centre to edgediameter (d) = 2 × rcircumference = π × dπ ≈ 3,14
Radius, diameter and circumference
  • Centre: the point in the middle.
  • Radius (r): centre to the edge.
  • Diameter (d): right across through the centre; d = 2r.
  • Circumference: the distance around; C = π × d (π ≈ 3,14).
  • Chord: a straight line joining two points on the circle. The diameter is the longest chord.
  • Arc: part of the circumference.
  • Sector: the “slice of pizza” between two radii and an arc.
  • Segment: the part between a chord and an arc.
Rule

r = 5 cm → d = 10 cm → C ≈ 3,14 × 10 = 31,4 cm.

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Remember this and test yourself

Remember this: your summary
  • Radius: centre to edge.
  • Diameter = 2 × radius.
  • Circumference = π × diameter.
  • π ≈ 3,14.
  • Chord: line between two points on the circle; arc: part of the circumference.
  • Sector: between two radii; segment: between a chord and an arc.

Write these points in your book. Read them again the night before the test.

Memory trick

Diameter goes right through the middle; radius goes from the middle to the edge.

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Important words

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