Name: 
 

Lesson 9.6: Solve Problems by Using a Model



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

A, B, and C are the centres of each circle. AB = 2.4 cm, BC = AC = 3.0 cm. What is the radius of each circle?
                                mc001-1.jpg
a.
Circle A: radius = 1.0 cm, Circle B: radius = 1.2 cm, Circle C: radius = 2.0 cm
b.
Circle A: radius = 1.2 cm, Circle B: radius = 1.2 cm, Circle C: radius = 1.8 cm
c.
Circle A: radius = 1.2 cm, Circle B: radius = 1.4 cm, Circle C: radius = 2.2 cm
d.
Circle A: radius = 1.2 cm, Circle B: radius = 1.0 cm, Circle C: radius = 1.5 cm
 

 2. 

A, B, and C are the centres of each circle. In the diagram, AB = BC = AC = 3.5 cm. What is the radius of each circle?
                      mc002-1.jpg
a.
Circle A: radius = 1.75 cm, Circle B: radius = 1.5 cm, Circle C: radius = 1.25 cm
b.
Circle A: radius = 1.5 cm, Circle B: radius = 1.75 cm, Circle C: radius = 1.25 cm
c.
Circle A: radius = 1.25 cm, Circle B: radius = 1.25 cm, Circle C: radius = 1.75 cm
d.
Circle A: radius = 1.75 cm, Circle B: radius = 1.75 cm, Circle C: radius = 1.75 cm
 

 3. 

Three identical circular rolls are held together with a belt that wraps around the rolls, as shown in the diagram. The radius of each roll is 10 cm. What is the length of the belt, to the nearest tenth?
            mc003-1.jpg
a.
122.8 cm
b.
142.6 cm
c.
61.4 cm
d.
92.1 cm
 

 4. 

Three identical pipes are held together by a strap that wraps around the pipes, as shown in the diagram. The radius of each pipe is 15 cm. What is the length of the strap, to the nearest tenth?
                       mc004-1.jpg
a.
156.5 cm
b.
92.1 cm
c.
184.2 cm
d.
138.2 cm
 

 5. 

mc005-1.jpg is an equilateral triangle with side lengths of 6.0 cm and is inscribed within the circle with centre M. What is the area of mc005-2.jpg?
                              mc005-3.jpg
a.
31.2 cm2
b.
15.6 cm2
c.
22.4 cm2
d.
18.8 cm2
 



 
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