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x2 + y2 = 1
x2 + y2 = 25
x2 + y2 = 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