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

5394 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do I integrate 2^x?


The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]


A curve C has equation 2^x + y^2 = 2xy. How do I find dy/dx for the curve C?


Where does the quadratic formula come from?


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:

© 2025 by IXL Learning