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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.

5

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

6

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.

7

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

a
b
c
d
Composite shapes
8

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.

9

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

a
b
c
d
e
f
10

Find the perimeter of the shaded arc.

Round your answer to 2 decimal places.

11

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.

Applications
12

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.

13

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

14

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

15

Find the circumference of the following Ferris wheel:

Round your answer to one decimal place.

16

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.

17

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?

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Outcomes

3.1.1

extend the calculation of perimeters to include polygons, circles and composites of familiar shapes

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