Properties of Circles (Edexcel GCSE Maths: Foundation)

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Jamie W

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Jamie W

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Properties of Circles

What terms related to circles do I need to know?

  • Circles have several specific terms that you need to be familiar with:
    • A circle's perimeter is called a circumference
    • Its line of symmetry is called a diameter
    • The line from the centre of the circle to its circumference is called a radius
      • The diameter is equal to 2 × the radius
    • A portion of the circumference is called an arc
    • A portion of the area, contained between two radii and an arc, is called a sector
    • A line between two points on the circumference is called a chord
    • The area formed between a chord and an arc is called a segment
    • A line which intersects the circumference at one point only, is called a tangent

Properties of a circle

  • The ratio circumference over diameter is equal to π (3.14159...)

Exam Tip

  • Always double check if a measurement is the diameter or the radius
    • This is a really common error in exams
    • Diameter = 2 × Radius

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Jamie W

Author: Jamie W

Jamie graduated in 2014 from the University of Bristol with a degree in Electronic and Communications Engineering. He has worked as a teacher for 8 years, in secondary schools and in further education; teaching GCSE and A Level. He is passionate about helping students fulfil their potential through easy-to-use resources and high-quality questions and solutions.