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Maths (Higher)
Circle theorems

Starter quiz

  • What is the dashed line segment on this circle called?
    What is the dashed line segment on this circle called?
    • arc
    • chord
    • sector
    • segment
    • tangent  ✓
  • The line segment on this circle passes through its centre. What is the shaded region on this circle called?
    The line segment on this circle passes through its centre. What is the shaded region on this circle called?
    • sector  ✓
    • segment  ✓
    • chord
    • semicircle  ✓
    • arc
  • Which of these statements are correct?
    • A radius is needed to form a segment.
    • A diameter is needed to form a segment.
    • A chord is needed to form a segment.  ✓
    • An arc is needed to form a segment.  ✓
    • The circumference forms part of a segment.
  • The size of the angle subtended by the chord AB is <span class="blank">______</span>°.
    The size of the angle subtended by the chord AB is ______°.
    • '40' ✓
  • Match each circle to their area (3 s.f.)
    • area = 78.5 cm²
      ⇔
      radius = 5 cm ✓
    • area = 314 cm²
      ⇔
      diameter = 20 cm ✓
    • area = 1260 cm²
      ⇔
      circumference = 40π cm ✓
    • area = 201 cm²
      ⇔
      “circle with diameter 8 more than its radius” ✓
    • area = 452 cm²
      ⇔
      “circle with radius 12 less than its diameter” ✓
  • A 36° angle at the centre (O) of a circle has been subtended by the arc XY. The circle has a radius of 50 cm. The area of the shape bound the arc XY and the legs of the 36° angle is ______ cm² (2 s.f.).
    • '790' ✓
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