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here i have a circle drawn thatamp;#39;s centered at the origin so i have the center labeled as the point zero zero if you can imagine me drawing a radius from the center zero zero to any point on the circle it would connect to the circle at some point x y and iamp;#39;ve drawn the radius let me label that as r to represent the radius of the circle now if i were to describe the relationship between this x y point and the radius if i were to go from the origin to that xy point i could travel x units parallel to the x axis and then y units parallel to the y axis and notice what iamp;#39;ve created here is a right angle triangle and what do we know about the relationship between the sides in a right angle triangle the sum of the squares of the shorter two sides so x squared plus y squared is equal to the square of the longest side in this case the longest side is the radius so itamp;#39;s equal to the radius squared and this is the equation of a circle
