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Lesson: The Power of a Point Theorem Mathematics

In this lesson, we will learn how to find the power of a point with respect to a circle.

Lesson Plan

Students will be able to

find the power of a point with respect to a given circle,
use the power of a point theorem to find a missing radius or a missing distance between the center of the circle and a point,
solve problems using the power of a point theorem.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

A circle has center and radius . Find the power of the point with respect to the circle given that .

Q2:

A point is at a distance 40 from the center of a circle. If its power with respect to the circle is 81, what is the radius of the circle, rounded to the nearest integer?

Q3:

Determine the position of a point with respect to the circle if .