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Oak MathsTest · Maths

The angle at the centre of the circle is twice the angle at any point on the circumference

The starter and exit quiz of the lesson “The angle at the centre of the circle is twice the angle at any point on the circumference”, from the unit “Circle theorems” (Year 10 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. What is the dashed line segment on this circle called?
  2. The line segment on this circle passes through its centre.What is the shaded region on this circle called?
  3. Which of these statements are correct?
  4. The size of the angle subtended by the chord AB is ___°.
  5. Match each circle to their area (3 s.f.)
  6. 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.).
  7. The size of angle x° on this 12-point geoboard is ___°.
  8. The size of angle y° on this 12-point geoboard is ___°.
  9. Angle a° is subtended by chord TU on this 12-point geoboard.a° = ___°
  10. Angle b° is subtended by chord TU at the circumference of this 12-point geoboard.b° = ___°
  11. The size of angle c° is ___°.
  12. The size of the angle marked d° is ___°.

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The angle at the centre of the circle is twice the angle at any point on the circumference · Examplary