A circle is represented by the equation (x−2)2+(y+3)2=25. Answer the following questions related to this circle.
(i) Identify the centre and the radius of the circle.
(ii) Without carrying out any numerical plotting, explain how the symmetry of a circle about its centre helps you decide which points are sufficient to obtain an accurate sketch.
(iii) Describe, step by step, how you would sketch this circle on a pair of perpendicular axes and indicate the intercepts on the axes that you would label on your diagram.