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Circle with a Given Centre Passing Through a Given Point
For centre $$(h,k)$$ and point $$(x_1,y_1)$$:
$$r=\sqrt{(x_1-h)^2+(y_1-k)^2}$$
Hence:
$$(x-h)^2+(y-k)^2=(x_1-h)^2+(y_1-k)^2$$
Usage
- Used to obtain the equation of a circle when its centre and one point are known.
