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A circle graph has a 54° slice for green, what percent green

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

Step by step

The question

Question: a circle graph has a 54° slice for green: what percent green?

green: 54°

Here is the slice.

54° of the 360° circle.

1 Angle over 360

The slice is 54 out of 360 degrees.

54 and 360 can both be divided by 18: 3/20.

= 54360 = 54 ÷ 18360 ÷ 18 = 320

Careful!

Degrees are out of 360, not out of 100.

Careful: not 54% ✗

2 As a percent

Percent means out of 100.

3/20 times 100% is 15%.

= 320 × 100% = 15%

3 Check

Let's check: 15% of 360 degrees is 54°, the slice.

So the answer is right!

15% of 360 = 54°

Let's look back.

First: angle over 360.

Then: as a percent.

Last: check.

Answer
= 320 × 100% = 15%

Your turn

Try this one yourself, then check:

green: 72°
Show the answer
20%

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