Lesson: Perpendicular Bisector of a Chord Mathematics • 11th Grade

In this lesson, we will learn how to use the theory of the perpendicular bisector of a chord from the center of a circle and its converse to solve problems.

Lesson Plan

Students will be able to

understand that the straight line passing through the center of a circle and the midpoint of a chord is perpendicular to this chord and solve problems to find unknown lengths and angles,
understand that the straight line passing through the center of the circle, which is also perpendicular to a chord, bisects this chord and solve problems to find unknown lengths,
understand that the perpendicular bisector of any chord in a circle passes through the center of this circle.

Lesson Presentation

Lesson Video

Lesson Explainer

Lesson Worksheet

Q1:

Given and , find .

Q2:

The radius of circle is 60.9 cm, and . What is the area of ?

Q3:

Given that , and is the midpoint of , find .