A circle is represented by the equation (x−2)2+(y+3)2=25. Answer the following questions related to this circle.
a. (i) Identify the centre and the radius of the circle.
b. (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.
c. (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.