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Circle graph: rock 10, pop 25, jazz 5

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

Step by step

The question

Question: make a circle graph of rock 10, pop 25, jazz 5.

rock 10, pop 25, jazz 5

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: 10 plus 25 plus 5 is 40.

= total = 10 + 25 + 5 = 40

2 Each part of 360°

Rock: 10 out of 40, that is 1/4.

Of 360 degrees: 90°.

= rock: 1040 = 14 × 360 = 90°

Pop: 25 out of 40, of 360, is 225°.

= pop: 2540 = 58 × 360 = 225°

Jazz: 5 out of 40, of 360, is 45°.

= jazz: 540 = 18 × 360 = 45°

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.

Rock: a slice of 90°, going round like a clock.

Then pop, 225°, and so on.

So the slices are rock 90°, pop 225° and jazz 45°.

= rock 90°, pop 225°, jazz 45°

4 Check

Let's check: the slices fill the circle: 90 plus 225 plus 45 is 360.

So the answer is right!

90 + 225 + 45 = 360

Let's look back.

First: find the total.

Then: each part of 360°.

Then: draw the circle graph.

Last: check.

Answer
= rock 90°, pop 225°, jazz 45°

Your turn

Try this one yourself, then check:

rock 10, pop 2, jazz 18
Show the answer
rock 120°, pop 24°, jazz 216°

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