Find the coordinates of the centre C and the length of the diameter of a circle with the equation (x-2)^2 + (y+5)^2 = 25

Equation of a circle  ->  (x-a)2 + (y-b)^2 = r2     where the centre = (a,b) and the radius = r

Thus using the equation above we can conclude that the centre is (2,-5)

In order to find the diamerer fo the circle, the radius is needed. 

√r= √25   therefore r = 5    as 2r = diameter = 10

Centre of the circle is (2,-5) and has a diameter of 10

MC
Answered by Michael C. Maths tutor

5780 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate the following between 0 and 1: (x + 2)^3 dx


Differentiate y=ln(x)+5x^2, and give the equation of the tangent at the point x=1


Given y = x(3x+ 5)^3. Find dy/dx.


A particle A rests on a smooth inclined plane, it is connected to a particle B by a light inextensible string that is passed over a fixed smooth pulley at the top of the plane. B hangs freely. Find the acceleration of the system and tension in the string.


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