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

5263 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.


Find the area under the curve of y=x^2 between the values of x as 1 and 3


Find d^2y/dx^2 for y=4x^4−3x^3−6x^2+x


A cubic curve has equation y x3 3x2 1. (i) Use calculus to find the coordinates of the turning points on this curve. Determine the nature of these turning points.


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