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Circle graph: math 8, art 5, music 7, sport 4

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

Step by step

The question

Question: make a circle graph of math 8, art 5, music 7, sport 4.

math 8, art 5, music 7, sport 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: 8 plus 5 plus 7 plus 4 is 24.

= total = 8 + 5 + 7 + 4 = 24

2 Each part of 360°

Math: 8 out of 24, that is 1/3.

Of 360 degrees: 120°.

= math: 824 = 13 × 360 = 120°

Art: 5 out of 24, of 360, is 75°.

= art: 524 × 360 = 75°

Music: 7 out of 24, of 360, is 105°.

= music: 724 × 360 = 105°

Sport: 4 out of 24, of 360, is 60°.

= sport: 424 = 16 × 360 = 60°

Careful!

The parts are counts, not percents.

Each one is out of the total, 24.

Careful: use the total, not 100

3 Draw the circle graph

We draw a circle and start at the top.

Math: a slice of 120°, going round like a clock.

Then art, 75°, and so on.

So the slices are math 120°, art 75°, music 105° and sport 60°.

= math 120°, art 75°, music 105°, sport 60°

4 Check

Let's check: the slices fill the circle: 120 plus 75 plus 105 plus 60 is 360.

So the answer is right!

120 + 75 + 105 + 60 = 360

Let's look back.

First: find the total.

Then: each part of 360°.

Then: draw the circle graph.

Last: check.

Answer
= math 120°, art 75°, music 105°, sport 60°

Your turn

Try this one yourself, then check:

math 18, art 48, music 12, sport 42
Show the answer
math 54°, art 144°, music 36°, sport 126°

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