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Knowledge needed of
Completion Of Square
Equation Of A Circle
(x - a)2 + (y - b)2 = r2
where
a is the x co-ordinate of the centre of the circle
b is the y co-ordinate of the centre of the circle
r is the radius of the circle
In terms of showing method and avoiding error
especially with
directed numbers
the following format can be very useful
[x - (a)]2 + [y - (b)]2 = (r)2
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Example |
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(x + 2)2 + (y - 3)2 = 52 |
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[x + 2]2 + [y - 3]2 = 52 |
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[x - (-2)]2 + [y - (3)]2 = (5)2 |
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a = (-2) |
-2 is the x co-ordinate
of the centre of the circle |
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b = (3) |
3 is the y co-ordinate
of the centre of the circle |
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r = (5) |
5 is the radius
of the circle |
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