I need to put together the equation of the circle with centre (-8, 2) and radius 6 Please include formulas and steps, so I can learn and practise. Thanks!!! |
The formula for a circle of radius r and centre (a, b) is:
(x - a)^{2} + (y - b)^{2} = r^{2} |
Your values are: a = -8, b = 2 and r = 6
So (taking care with the signs) the equation of your circle is:
(x + 8)^{2} + (y - 2)^{2} = 6^{2}
I prefer not to expand this equation (by squaring each term).
The resulting equation will not look any simpler; and will not be easily recognised as the equation of a circle.