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A circle graph has a 72° slice for bike, what percent bike

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

Step by step

The question

Question: a circle graph has a 72° slice for bike: what percent bike?

bike: 72°

Here is the slice.

72° of the 360° circle.

1 Angle over 360

The slice is 72 out of 360 degrees.

72 and 360 can both be divided by 72: 1/5.

= 72360 = 72 ÷ 72360 ÷ 72 = 15

Careful!

Degrees are out of 360, not out of 100.

Careful: not 72% ✗

2 As a percent

Percent means out of 100.

1/5 times 100% is 20%.

= 15 × 100% = 20%

3 Check

Let's check: 20% of 360 degrees is 72°, the slice.

So the answer is right!

20% of 360 = 72°

Let's look back.

First: angle over 360.

Then: as a percent.

Last: check.

Answer
= 15 × 100% = 20%

Your turn

Try this one yourself, then check:

bike: 90°
Show the answer
25%

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