Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Circle Power

    Alternate name
    Definition

    The power of a fixed point A with respect to a circle of radius r and center O is defined by the product p congruent A P×A Q, where P and Q are the intersections of a line through A with the circle. The term "power" was first used in this way by Jacob Steiner. Amazingly, p (sometimes written k^2) is independent of the choice of the line A P Q. Now consider a point P not necessarily on the circumference of the circle. If d = O P is the distance between P and the circle's center O, then the power of the point P relative to the circle is p = d^2 - r^2.

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.