# Lesson Worksheet: Circumscribed Polygons Mathematics

In this worksheet, we will practice identifying circumscribed polygons and using their properties to find areas or missing lengths.

**Q1: **

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

- ATrue
- BFalse

**Q3: **

Find the perimeter of the .

**Q4: **

Find the lengths of and .

- A36.58 cm, 45.41 cm
- B31.66 cm, 49.32 cm
- C41.49 cm, 49.32 cm
- D31.66 cm, 41.49 cm

**Q6: **

Which of the following diagrams shows a circumscribed polygon?

- AC
- BB
- CD
- DA

**Q8: **

In the figure, , , and . Find the perimeter and the area of .

- A206 cm, 7,857
cm
^{2} - B412 cm, 7,857
cm
^{2} - C206 cm, 10,300 cm
^{2} - D412 cm, 10,300 cm
^{2}

**Q9: **

Given that is an equilateral triangle whose sides touch circle and that the coordinates of point are , determine the equation of circle .

- A
- B
- C
- D

**Q10: **

The circle center is inscribed in the equilateral triangle of side 63. What is the circumference of the circle?

- A
- B
- C
- D
- E

**Q11: **

In a triangle , , , and . A circle with center is drawn so that is a radius and is bisected at . Find the length of the diameter.

**Q13: **

Circle is inscribed in . Determine the triangleβs area.