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Circles for Edexcel A-level Maths

Circles

This page covers the following topics:

1. Coordinate geometry of a circle

A circle that has a centre of coordinates (a, b) and a radius of length r has an equation of the form: (x โˆ’ a)ยฒ + (y โˆ’ b)ยฒ = rยฒ.

Coordinate geometry of a circle

1

State the equation of a circle with centre (0, 5) and radius 8.

The circle has equation xยฒ + (y โˆ’ 5)ยฒ = 64.

State the equation of a circle with centre (0, 5) and radius 8.

2

State the equation of the given circle.

The circle has equation xยฒ + (y + 4)ยฒ = 49.

State the equation of the given circle.

3

State the equation of the given circle.

The circle has equation (x โˆ’ 3)ยฒ + yยฒ = 9.

State the equation of the given circle.

4

A circle has equation xยฒ + yยฒ = 9. State the coordinates of the centre of the circle and the length of its radius.

The circle has centre (0, 0) and radius of length 3.

A circle has equation xยฒ + yยฒ = 9. State the coordinates of the centre of the circle and the length of its radius.

5

State the equation of the given circle.

The circle has equation (x โˆ’ 2)ยฒ + (y โˆ’ 5)ยฒ = 25.

State the equation of the given circle.

End of page

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