topic badge

1.025 Perimeter of circular shapes

Worksheet
Circles
1

Find the circumference of the following circles, correct to one decimal place:

a
b
c
d
e
f
2

Find the circumference of the following circles. Round your answers to one decimal place.

a

A circle of radius 27\text{ cm}

b

A circle of diameter 38\text{ cm}

3

Find the circumference of the following circles. Round your answers to two decimal places.

a

A circle of radius 7\text{ cm}

b

A circle of radius 11\text{ cm}

4

If the radius of a circle equals 1.8 \text{ cm}, find its circumference correct to three decimal places.

Sectors
5

For each of the following sectors, find the exact length of the arc (in terms of \pi):

a
b
c
d
6

For each of the following sectors, find the exact length of the arc (in terms of \pi):

a

A sector of a circle of radius 29 \text{ m} is formed from an angle of size 131 \degree.

b

A sector of a circle of radius 5 units is formed from an angle of size 318 \degree.

7

Find the length of the following arcs, rounded to two decimal places:

a
b
8

Find the length of the following arcs, rounded to two decimal places:

a

A sector of a circle of radius 10 \text{ m} is formed from an angle of size 50 \degree.

b

A sector of a circle of radius 7 \text{ cm} is formed from an angle of size 41 \degree.

9

Consider the following figure:

a

Find the exact length of the circumference of the whole circle.

b

Find the exact length of the arc of the quadrant.

c

Find the perimeter of the quadrant. Round your answer to two decimal places.

10

Consider the following quadrant:

a

Find the length of the arc in exact form.

b

Find the total perimeter of the quadrant in exact form.

11

For each of the following sectors, find the perimeter to the nearest whole number:

a
b
c
d
12

Find the perimeter of each of the following sectors, rounding your answers to two decimal places:

a
b
c
d
e
f
13

Find the perimeter of each of the following sectors, rounding your answers to two decimal places:

a

A sector of radius 14 \text{ cm} and angle of 65 \degree.

b

A sector of radius 3.2 \text{ m} and angle of 145 \degree.

14

Find the perimeter of a semicircle with diameter 8\text{ cm}, correct to two decimal places.

15

Find the perimeter of the sector. Round your answer to two decimal places.

Composite shapes
16

Find the perimeter of the following figures, correct to one decimal place:

a
b
c
d
e
f
17

Find the perimeter of the following figure correct to one decimal place.

18

A rectangle of length 12\text{ m}, has two semicircles of radius 3\text{ m} cut out at each end as shown. Find the perimeter of the shaded shape, correct to two decimal places.

19

Find the perimeter of the shaded arc.

Round your answer to 2 decimal places.

20

Joanne noticed that these three sectors make up a semicircle. She thinks that the figure will have the same perimeter as a semicircle with radius 9\text{ cm}.

a

Is Joanne correct? Explain your answer.

b

Find the exact perimeter of the shape.

21

Find the perimeter of the figure shown.

Round your answer to two decimal places.

22

Find the perimeter of the following figure.

Round your answer to one decimal place.

Applications
23

A circular running track has a diameter of 23 metres. How many laps must be completed to run 1600 metres? Round your answer to one decimal place.

24

A scooter tyre has a diameter of 34\text{ cm}. What is the circumference of the tyre? Round your answer to one decimal place.

25

What is the length of the strip of seaweed around the outside of the sushi? Round your answer to one decimal place.

26

Find the circumference of the following Ferris wheel:

Round your answer to one decimal place.

27

A coin has a diameter of 2.2\text{ cm}. If the coin is rolled through 45 complete revolutions, what distance will it travel? Round your answer to one decimal place.

28

A dining table is in the shape of a rectangle plus two semicircles, as shown in the figure:

What is the perimeter of the table in metres, corrected to the nearest 0.1 metre?

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

ACMEM091

calculate perimeters of familiar shapes, including triangles, squares, rectangles, polygons, circles, arc lengths, and composites of these

What is Mathspace

About Mathspace