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in this video we will look at how you can prove that a point lies on a circle well also look at how you can work out whether its inside the circle or outside the circle so we start with a very simple method that will give us a yes-or-no answer as to whether our point is on the circle or not so the question is does the point 1 3 lie on the circle with that given equation so we start by writing out the equation again and so weve got two letters in there weve got our X and our Y value and we can of course obtain that from our point 1 3 so we can replace X for the 1 and we can replace Y with 3 and so we do that substitution and we get that expression all Ive done is replace the X with 1 and the y with 3 we can then evaluate that and then we can get a slightly tighten it up a expression that Ive just so sorted out those brackets you square those out add them together and you end up with the statement that 5 equals 25 well of course 5 does not equal 25 that is complete rubbish so this