A Circle of radius 1. A Circle Note the Pythagorean form How does the Pythagorean theorem apply here? The x and y coordinates are also side lengths of.

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Presentation transcript:

A Circle of radius 1

A Circle Note the Pythagorean form How does the Pythagorean theorem apply here? The x and y coordinates are also side lengths of a right triangle with the radius as the hypotenuse r r r r Regardless of the quadrant in which the points lie

A Circle Note the Pythagorean form Notice also that each point on the circle is equidistant from the center What if we altered the coefficients of the equation?

A Circle So now our radius is 5 Remembering parabolas, what could I do to this equation to move the center 1 to the right? How about 1 down?

A Circle So the general equation for a circle is: With center (h, k) and radius r What if your equation looked like this: Hint: Try completing the squares How?

A Circle So the general equation for a circle is: With center (h, k) and radius r What if your equation looked like this: Add 1 to complete each square Add the same numbers to the other side