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Circle graph: A 15, B 21, C 9, D 27

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

Step by step

The question

Question: make a circle graph of A 15, B 21, C 9, D 27.

A 15, B 21, C 9, D 27

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: 15 plus 21 plus 9 plus 27 is 72.

= total = 15 + 21 + 9 + 27 = 72

2 Each part of 360°

A: 15 out of 72, that is 5/24.

Of 360 degrees: 75°.

= A: 1572 = 524 × 360 = 75°

B: 21 out of 72, of 360, is 105°.

= B: 2172 = 724 × 360 = 105°

C: 9 out of 72, of 360, is 45°.

= C: 972 = 18 × 360 = 45°

D: 27 out of 72, of 360, is 135°.

= D: 2772 = 38 × 360 = 135°

Careful!

The parts are counts, not percents.

Each one is out of the total, 72.

Careful: use the total, not 100

3 Draw the circle graph

We draw a circle and start at the top.

A: a slice of 75°, going round like a clock.

Then B, 105°, and so on.

So the slices are A 75°, B 105°, C 45° and D 135°.

= A 75°, B 105°, C 45°, D 135°

4 Check

Let's check: the slices fill the circle: 75 plus 105 plus 45 plus 135 is 360.

So the answer is right!

75 + 105 + 45 + 135 = 360

Let's look back.

First: find the total.

Then: each part of 360°.

Then: draw the circle graph.

Last: check.

Answer
= A 75°, B 105°, C 45°, D 135°

Your turn

Try this one yourself, then check:

Make a circle graph of A 24, B 3, C 24, D 9
Show the answer
A 144°, B 18°, C 144°, D 54°

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