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[Music] in this video were going to learn about the equation of a circle as usual there are some exam questions in the videos description that you can try afterwards take the equation x squared plus y squared equals r squared this corresponds to a circle where the center is 0 0 or the origin and a radius r for example if we had this circle here the equation would be x squared plus y squared equals three squared since the radius is three and of course three squared is just nine now what about if we move the circle so the center is in a different place what would happen to the equation so in this one weve now got a center which is 2 3 but the radius is still the same its still 3. now since the radius is still the same the right hand side of this equation doesnt change so it still equals 3 squared or equals 9 but the left hand side does this circle would have equation x minus 2 all squared plus y minus 3 or squared equals 9. notice the x coordinate of the center was two and then we
