Find the centre coordinates, and radius of the circle with equation: x^2 + y^2 +6x -8y = 24

Firstly, rearrange the equation to group the 'x' terms together, and the 'y' terms together.x^2 + 6x + y^2 -8y = 24'Complete the square' on each of the x and y groups:(x + 3)^2 - 9 + (y - 4)^2 - 16 = 24Rearrange to standard form(x + 3)^2 + (y - 4)^2 = 49 = 7^2 Which is the equation of a circle radius 7, centre (-3, 4)

SN
Answered by Sam N. Maths tutor

4562 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the area enclosed by the curve y = 3x - x^2 and the x-axis


The curve C has equation y = x^3 - 2x^2 - x + 9, x > 0. The point P has coordinates (2, 7). Show that P lies on C.


f(x)=12x^2e^2x - 14, find the x-coordinates of the turning points.


What is a limit?


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:

© 2025 by IXL Learning