A circle graph of 120 people has a 60° slice for tea, how many tea

Step by step

The question

Question: a circle graph of 120 people has a 60° slice for tea: how many tea?

Here is the slice.

60° of the 360° circle.

1 Angle over 360

The slice is 60 out of 360 degrees.

60 and 360 can both be divided by 60: 1/6.

Careful!

Degrees are out of 360, not out of 100.

2 Of the total

1/6 of all 120 people.

120 divided by 6 is 20.

So 20 people.

3 Check

Let's check: 20 out of 120 is 1/6.

1/6 of 360 is 60°, the slice.

So the answer is right!

Let's look back.

First: angle over 360.

Then: of the total.

Last: check.