Steply

A circle graph of 360 voters has a 135° slice for yes, how many yes

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

Step by step

The question

Question: a circle graph of 360 voters has a 135° slice for yes: how many yes?

yes: 135°, 360 voters in all

Here is the slice.

135° of the 360° circle.

1 Angle over 360

The slice is 135 out of 360 degrees.

135 and 360 can both be divided by 45: 3/8.

= 135360 = 135 ÷ 45360 ÷ 45 = 38

Careful!

Degrees are out of 360, not out of 100.

Careful: not 135% ✗

2 Of the total

3/8 of all 360 voters.

360 divided by 8 is 45.

Times 3: 135 voters.

= 38 × 360 = 135

3 Check

Let's check: 135 out of 360 is 3/8.

3/8 of 360 is 135°, the slice.

So the answer is right!

135 out of 360 = 38 of 360 = 135°

Let's look back.

First: angle over 360.

Then: of the total.

Last: check.

Answer
= 38 × 360 = 135

Your turn

Try this one yourself, then check:

yes: 45°, 360 voters in all
Show the answer
45

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