x 2 + y 2 = 1 x 2 + y 2 = 25 x 2 + y 2 = 64 The general equation of a circle is: → the centre of each of these circles is ( , ) → the x-intercepts are at x = x = x = → in general, x-intercepts are at x = Ex 1: Determine the equation of each circle centered at (0, 0) that passes through the given point. a) (-4, 3) b) (8, -6) c) (5, 11) Ex 2: Determine the other endpoint of the diameter through each circle from example 1. a) b) c) Ex 3: Determine the x-intercepts and y-intercepts of each circle from example 1. a) b) c) x y Assignment: 2.3 p.91 #1, 2a, 3a, 4, 6, 11, 12, 14 Equation of a Circle