Pythagorean TheoremA series of free High School Geometry Video Lessons from Brightstorm.
Distance Formula Using what we know about the Pythagorean theorem, we are able to derive the distance formula which is used to find the straight distance between two points in a coordinate plane. The distance formula is a standard formula that allows us to plug a set of coordinates into the formula and easily calculate the distance between the two.
Equation of a Circle A circle can't be represented by a function, as proved by the vertical line test. However, we can obtain an equation that describes the full circle by using the distance formula between the given center coordinates and any point along the circumference of the circle. Once we have derived this equation of a circle, we can apply it to any other circle you may come across in a coordinate plane.
Calculating Coordinates in the Unit Circle The unit circle is a circle that has a radius of one and is centered at the origin of the coordinate plane. It is a concept that frequently occurs in many of the math subjects, especially those where Trigonometry is used. Questions asking about unit circle coordinates often give an unknown coordinate and require us to use the properties of a unit circle to calculate these coordinates.
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