In this worksheet, we will practice identifying circumscribed polygons and solving problems involving them.
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
Q3:
Find the perimeter of the .
Q4:
Find the lengths of and .
- A 31.66 cm, 41.49 cm
- B 36.58 cm, 45.41 cm
- C 41.49 cm, 49.32 cm
- D 31.66 cm, 49.32 cm
Q5:
In the following figure, find the perimeter of the square given that the length of the circle’s radius .
Q6:
Which of the following diagrams shows a circumscribed polygon?
- AC
- BA
- CD
- DB
Q7:
A regular pentagon is circumscribed around a circle of radius 2 cm. Find the length of one side of the pentagon. Give your answer correct to one decimal place.
Q8:
In the figure, , , and . Find the perimeter and the area of .
- A 412 cm, 7 857 cm2
- B 206 cm, 10 300 cm2
- C 206 cm, 7 857 cm2
- D 412 cm, 10 300 cm2
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 centre 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 centre is drawn so that is a radius and is bisected at . Find the length of the diameter.