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

4802 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the intergral of 2x^5 - 1/4x^3 - 5 with respect to x.


Simplify ln(e^2) - 4ln(1/e)


evaluate the integral 2x/((9+x^2)^1/2) between -2 and 0


Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2


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