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A circle graph of 80 kids has a 144° slice for soccer, how many soccer

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

Step by step

The question

Question: a circle graph of 80 kids has a 144° slice for soccer: how many soccer?

soccer: 144°, 80 kids in all

Here is the slice.

144° of the 360° circle.

1 Angle over 360

The slice is 144 out of 360 degrees.

144 and 360 can both be divided by 72: 2/5.

= 144360 = 144 ÷ 72360 ÷ 72 = 25

Careful!

Degrees are out of 360, not out of 100.

Careful: not 144% ✗

2 Of the total

2/5 of all 80 kids.

80 divided by 5 is 16.

Times 2: 32 kids.

= 25 × 80 = 32

3 Check

Let's check: 32 out of 80 is 2/5.

2/5 of 360 is 144°, the slice.

So the answer is right!

32 out of 80 = 25 of 360 = 144°

Let's look back.

First: angle over 360.

Then: of the total.

Last: check.

Answer
= 25 × 80 = 32

Your turn

Try this one yourself, then check:

soccer: 36°, 80 kids in all
Show the answer
8

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