How do you find the equation of a circle?

The equation of a circle is given in the form (x-a)2 + (y-b)2 = r2, in which the centre of the circle is (a,b) and the radius of the circle is 'r'. If you can figure out or are given the co-ordinates of the centre of the circle and the radius then these values can be plugged into the above equation to find the answer. Occasionally, you may not be given these values and will instead be given the equation in the form x2+y2+cx+dx=k, in which c, d and k are constants. In this case, you can "complete the square" for x and y in order to rearrange the equation into the model above. This will allow you to then also figure out the centre of the circle and the radius should you need it.

ZK
Answered by Zeeshan K. Maths tutor

4398 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A fridge of height 2m and width 0.8m is tilted in a delivery van so that one edge rests on the edge of a table and another touches the ceiling, as shown in the diagram. The total height of the inside of the van is 1.5m. Find the height of the table.


How to Solve: (11 − w)/4 = 1 + w


Solve the follow simultaneous equation:4x + y= 4 and 2x + y= 8


A table has diameter 130cm. What is the area, as a multiple of Pi


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning