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Edexcel IGCSE Math A 4.6 circle properties

Use this circle-properties page to name circle parts, calculate angles and apply chord, tangent, cyclic quadrilateral and segment facts.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Name circle parts such as radius, chord, diameter, tangent, sector and segment.
  • Use chord, tangent and intersecting-chord properties to calculate lengths or angles.
  • Apply circle angle theorems such as same segment or cyclic quadrilateral facts.

Covered syllabus points

4.6.A Circle terminology4.6.B Chord and tangent properties of circles Two tangents4.6.HA Intersecting chord properties4.6.HB The term ‘cyclic quadrilateral’4.6.HC Circle angle properties

4.6 Circle properties question 1

[Maximum number: 2]
Diagram NOT accurately drawn

Diagram NOT accurately drawn

PTR and QTS are chords of a circle.
PT=(3y−5)cmQT=(y+3)cmRT=4x cmST=(x+2)cmP T=(3 y-5) \mathrm{cm} \quad Q T=(y+3) \mathrm{cm} \quad R T=4 x \mathrm{~cm} \quad S T=(x+2) \mathrm{cm}
Find an expression for y in terms of x

4.6 Circle properties question 2

[Maximum number: 4]
Figure for Question 4.6 Circle properties question 2 — Edexcel IGCSE Math A Higher

L, M, N and P are points on a circle, centre O
Angle MNP=58∘M N P=58^{\circ}

Question (a)

(a)

Find the size of angle MLP

[ 2 ]

Question (b)

(b)

Find the size of the reflex angle MOP

[ 2 ]
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