Lesson: Circumscribed Polygons Mathematics • 11th Grade

In this lesson, we will learn how to identify circumscribed polygons and use their properties to find areas or missing lengths.

Lesson Plan

Students will be able to

understand that a circumscribed polygon is a polygon that surrounds a circle with each of its sides tangent to the circle,
use given side lengths of a circumscribed polygon or the radius of its inscribed circle to find
- a missing side length of the polygon,
- the perimeter of the polygon,
- the area of the polygon.

Q1:

True or False: In a circle, all of the inscribed angles that intercept the same arc are equal.

Q2:

In the shown figure, , , and . Given that all sides of triangle are tangent to the shown circle, determine the length of .

Q3:

Find the perimeter of the .