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Circle graph: cats 12, dogs 18, fish 6, birds 4

Step by step, with the reason for every step · Circle graphs · Foundations

Step by step

The question

Question: make a circle graph of cats 12, dogs 18, fish 6, birds 4.

cats 12, dogs 18, fish 6, birds 4

A circle graph shows the parts of a whole as slices.

The whole circle is 360 degrees.

the whole circle = 360°

1 Find the total

First the whole: 12 plus 18 plus 6 plus 4 is 40.

= total = 12 + 18 + 6 + 4 = 40

2 Each part of 360°

Cats: 12 out of 40, that is 3/10.

Of 360 degrees: 108°.

= cats: 1240 = 310 × 360 = 108°

Dogs: 18 out of 40, of 360, is 162°.

= dogs: 1840 = 920 × 360 = 162°

Fish: 6 out of 40, of 360, is 54°.

= fish: 640 = 320 × 360 = 54°

Birds: 4 out of 40, of 360, is 36°.

= birds: 440 = 110 × 360 = 36°

Careful!

The parts are counts, not percents.

Each one is out of the total, 40.

Careful: use the total, not 100

3 Draw the circle graph

We draw a circle and start at the top.

Cats: a slice of 108°, going round like a clock.

Then dogs, 162°, and so on.

So the slices are cats 108°, dogs 162°, fish 54° and birds 36°.

= cats 108°, dogs 162°, fish 54°, birds 36°

4 Check

Let's check: the slices fill the circle: 108 plus 162 plus 54 plus 36 is 360.

So the answer is right!

108 + 162 + 54 + 36 = 360

Let's look back.

First: find the total.

Then: each part of 360°.

Then: draw the circle graph.

Last: check.

Answer
= cats 108°, dogs 162°, fish 54°, birds 36°

Your turn

Try this one yourself, then check:

cats 20, dogs 4, fish 4, birds 12
Show the answer
cats 180°, dogs 36°, fish 36°, birds 108°

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