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A circle graph of 200 students has a 90° slice for walk, how many walk

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

Step by step

The question

Question: a circle graph of 200 students has a 90° slice for walk: how many walk?

walk: 90°, 200 students in all

Here is the slice.

90° of the 360° circle.

1 Angle over 360

The slice is 90 out of 360 degrees.

90 and 360 can both be divided by 90: 1/4.

= 90360 = 90 ÷ 90360 ÷ 90 = 14

Careful!

Degrees are out of 360, not out of 100.

Careful: not 90% ✗

2 Of the total

1/4 of all 200 students.

200 divided by 4 is 50.

So 50 students.

= 14 × 200 = 50

3 Check

Let's check: 50 out of 200 is 1/4.

1/4 of 360 is 90°, the slice.

So the answer is right!

50 out of 200 = 14 of 360 = 90°

Let's look back.

First: angle over 360.

Then: of the total.

Last: check.

Answer
= 14 × 200 = 50

Your turn

Try this one yourself, then check:

walk: 36°, 200 students in all
Show the answer
20

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