A circle with center C has equation x^2 + y^2 + 8x - 12y = 12

Circle equation = (x - a)2 + (y - b)2 = r2Where Centre coordinates (a, b) and radius 'r'Therefore x2 + y2 + 8x - 12y = 12 is to be rewritten in this formComplete the square to find a and bThis gives(x+4)2 - 16 + (y - 6)2 - 36 = 12Simplify(x+4)2 + (y - 6)2 = 64Therefore refering to the top two linesCentre of the circle is (-4, 6) and Radius of the circle is 8

HK
Answered by Henry K. Maths tutor

9372 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you integrate the equation x^2 + 4x + 3 dx? (


A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.


How do you show that (x+2) is a factor of f(x) = x^3 - 19x - 30, and then factorise f(x) completely?


F ind all values of x in the range 0° <= x <= 180° satisfying tan(x+45°)= 8tan(x)


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