PAL Solutions RU P6L19 Circles 2 WS

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Topic: Circles [2] (Lesson 19)

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Primary 6: Rev Up! Math

Exercise 1: Solve the following word problems. You may use a calculator for
this exercise.

1. A running track is made up of two semicircles and two sides of a rectangle as
22
shown. Find the length of the track. (Take = 7) 100 m

42 m

Ans:
2. The distance covered by a bicycle wheel when it completes a full turn is XY. If

the diameter of the wheel is 0.5 m, find the distance covered in 400 complete
turns of the wheel in metres. (Leave your answer in terms of .)

XY

Ans: 1

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Primary 6: Rev Up! Math

3. The figure shown is made up of a rectangle and two semi-circles.
(a) Find the area of the shaded figure.
(b) Find the perimeter of the shaded figure. (Take as 3.14)

16 cm

5 cm
5 cm

Ans: (a)
(b)

4. XOY is the diameter of the circle while OZ is the radius of the circle. If XY = 40
cm, find the area of the shaded part. (Take = 3.14)

Z

XO Y

40 cm

Ans: 2

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Primary 6: Rev Up! Math

5. The figure is made up of a semicircle, a square and a triangle.
(a) Find the area of the figure.
(b) Find the perimeter of the figure. (Take = 3.14)

12 cm 13 cm
17 cm

Ans: (a) 3
(b)

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Primary 6: Rev Up! Math

6. The figure is made up of two quadrants of a circle of radius 10 cm that overlap.

The length of the square inside the figure is 8 cm. 8 cm

(a) Find the area of the figure.
(b) Find the perimeter of the figure. (Take = 3.14)

10 cm

Ans: (a)
(b)

*7. The figure is made up of two quadrants and a rectangle.

(a) Find the area of the shaded part. 22
7)
(b) Find the perimeter of the shaded part.(Take =

7 cm

14 cm

Ans: (a) 4
(b)

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Primary 6: Rev Up! Math

*8. The figure shows a circle and 2 identical quadrants. The diameter of the circle

is 14 cm.

(a) Find the area of the shaded part. (Take = 22
Find the perimeter of the shaded part.
(b) 7)

7 cm

14 cm

Ans: (a)
(b)

*9. The figure is made up of three different semicircles. The ratio of AB to BC
is 2 : 1. Given that AC = 63 cm, find the perimeter of the shaded region.

(Take = 22 )
7

A BC
63 cm

Ans: 5

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Primary 6: Rev Up! Math

*10. The radius of the large circle is 4 times the radius of the small circle. If the
diameter of the large circle is 36 cm, find the difference between the
circumference of the small circle and large circle. (Take = 3.14)

• •

O

36 cm

Ans: 6

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Primary 6: Rev Up! Math

Extension

Solve the following word problems. You may use a calculator for this
exercise.

*1. How many circles of radius 3 cm can be cut from a rectangular sheet
measuring 65 cm by 42 cm?

Ans:

*2. The figure below shows a quadrant overlapping a semicircle. Find the
difference between area A and area B. (Take = 3.14)

B
AC

12 cm
12 cm

Ans: 7

2021 Copyright of PAL Solutions. No further reproduction and distribution is allowed.