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