Question

120 people were asked to choose their favorite colorfrom a list of 6 colors. 18 people chose orange. Findthe degree measure of the part of the circle graph thatrepresents orange?

Answer 1

You have 120 people as a total, of which 18 choose orange. This ratio of people can be represented as 18/120. This equals to 3/20, which means that for every 20 persons, 3 of them choose orange. You also know that a full circle has 360 degrees. You need to find how many "orange" degrees you have for every 360. 360/20 equals 18, so in 360 degrees you have 18 pieces of 20 degrees each. This means that every 20 degrees, 3 of them will be orange. 3*18 is 54. You can check this by seeing that 54/360 equals to 3/20. Concluding, 54 degrees of a circle graph represents orange.