Circles
Level 3 – Ex 1
1.
The diagram below shows a running track. Jake ran 4 times round the track. What
was the total distance he ran? (Take π =
)
28 m
100 m
2.
The figure below is made up of a square and a quadrant. Find the area and perimeter
of the figure. (Take π =
)
7 cm
3.
How many circles of radius 2 cm can be cut from a piece of cardboard measuring
69 cm by 9 cm?
Ans: _____________________ circles
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4.
A wire is bent to form 4 identical circular arcs as shown below. Given that the radius
of each arc is 5 cm, find the length of the wire. (Take π = 3.14)
5.
The figure below, not drawn to scale, is made up of half a square of length 5 cm in a
semi-circle. Find the perimeter of the shaded parts. Give your answer correct to 2
decimal places. (Take π = 3.14)
7.1 cm
6.
The figure below is made up of a square and a circle. O is the centre of the circle.
What is the area of the shaded region given that triangle FOG has an area of 16 cm²?
(Take π = 3.14)
H
G
O
E
2
F
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7.
The figure below is made up of a square ABCD and a circle. O is the centre of the
circle and the square. Given that the area of the square is 784 cm², find the area of
the shaded parts. (Take π = 3.14)
8.
A
B
D
C
The figure below is made up of 3 identical quarter circles and 2 identical semicircles
in a square grid. The radius of each quarter circle is 20 cm.
For each of the following, use the calculator value of π to find
(a)
the perimeter of the shaded figure,
(b)
the area of the shaded figure.
Round off your answers to the nearest whole number.
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9.
In the figure below, not drawn to scale, PT is parallel to QS. QP = ST = 19 cm, PT =
26 cm and QRS is a semicircle with a diameter of 50 cm.
(a)
Find the perimeter of the figure.
(b)
Find the area of the figure.
(Take π = 3.14)
R
50 cm
Q
S
40 cm
19 cm
P
10.
T
A grass patch is made up of a rectangle and a circle. O is the centre of the circle with
radius of 15 m. Find the perimeter of the grass patch. Take π =
. (Give your
answer correct to 2 decimal places.)
O
25 m
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