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

Answered by Henry K. Maths tutor

7803 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find an equation for the straight line connecting point A (7,4) and point B(2,0)


The curve y = 4x^2 + a/ x + 5 has a stationary point. Find the value of the positive constant a given that y-ordinate of the stationary point is 32.


Differentiate and find the stationary point of the equation y = 7x^2 - 2x - 1.


differentiate the equation f(x) = 3x^2+5x+3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences