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Circle graph: sports 40%, music 35%, art 25%

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

Step by step

The question

Question: make a circle graph of sports 40%, music 35%, art 25%.

sports 40%, music 35%, art 25%

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

The whole circle is 360 degrees.

the whole circle = 360°

1 Each part of 360°

Sports is 40% of the circle.

40% is 0.4.

0.4 times 360 is 144°.

= sports: 40% × 360 = 0.4 × 360 = 144°

Careful!

A percent is out of 100.

Degrees are out of 360.

40% of the circle is 144°.

Careful: not 40% → 40° ✗

Music: 35% of 360 is 126°.

= music: 35% × 360 = 0.35 × 360 = 126°

Art: 25% of 360 is 90°.

= art: 25% × 360 = 0.25 × 360 = 90°

2 Draw the circle graph

We draw a circle and start at the top.

Sports: a slice of 144°, going round like a clock.

Then music, 126°, and so on.

So the slices are sports 144°, music 126° and art 90°.

= sports 144°, music 126°, art 90°

3 Check

Let's check: the slices fill the circle: 144 plus 126 plus 90 is 360.

So the answer is right!

144 + 126 + 90 = 360

Let's look back.

First: each part of 360°.

Then: draw the circle graph.

Last: check.

Answer
= sports 144°, music 126°, art 90°

Your turn

Try this one yourself, then check:

sports 65%, music 10%, art 25%
Show the answer
sports 234°, music 36°, art 90°

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