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Lesson: Solving Problems Involving Circumscribed Polygons

A Circumscribed Polygon: A polygon is circumscribed about a circle if every side of the polygon is tangent to a circle. In this lesson, we will learn how to identify a circumscribed polygon and how to solve problems involving circumscribed polygons.

Worksheet: Solving Problems Involving Circumscribed Polygons • 6 Questions

Q1:

Is the following statement true or false? In a circle, all of the inscribed angles which intercept the same arc are equal.

Atrue
Bfalse

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 .

Q4:

Find the lengths of and .

A41.49 cm, 49.32 cm
B31.66 cm, 49.32 cm
C31.66 cm, 41.49 cm
D36.58 cm, 45.41 cm

Q5:

In the following figure, find the perimeter of the square given that the length of the circle’s radius .

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