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

Students will be able to

Q1:

A circle has center 𝑀 and radius 𝑟=21. Find the power of the point 𝐴 with respect to the circle given that 𝐴𝑀=25.

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 𝐴 with respect to the circle 𝑁 if 𝑃(𝐴)=814.

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