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

7108 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

integrate xcosx


Differentiate 5x^2 + 11x + 5 with respect to x


Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre


Express (5x + 3)/((2x - 3)(x + 2)) in partial fractions.


We're here to help

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

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy