3.2.1

Equations of Circles centred at Origin

Test yourself

Circles

We can look at the properties of circles by treating them as graphs in the Cartesian plane.

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Definition

  • A circle is defined as the set of points in a plane that are of equal distance to a fixed point called the center.
    • This equal distance is called the radius.
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Step 1

  • A straight line touches the circumference (point P), and the origin (0,0).
  • This is the hypotenuse of the right angled triangle. The other sides are 'x' and 'y'.
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Step 2

  • This is the equation of a circle.

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

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