Consider the circle given by (x+4)2+(y−1)2=12.25. Work through the tasks below.
a. (i) Find the centre and the radius of the circle.
b. (ii) Calculate the coordinates at which the circle meets the coordinate axes.
c. (iii) Draw a neat, free-hand sketch of the circle on a set of coordinate axes, clearly marking the centre, the radius, and all intercepts found in part (ii).