# Angle Measurements: Circle Graph

by Jamey

(USA)

**Question**

A class budget consists of $900 for dances, $1200 for trips, and $600 for charity. If the data were presented in a circle graph, what will be the angle measure of the part labeled "dances"?

**Answer**

**STEP 1: ** Let us first organize the given data into a table.

A circle graph is usually a circular chart which is divided into sectors illustrating percents. Since you are given three items, the circle will have three pie pieces.

**STEP 2:** To create the circle graph, the first step you will need to do is to make each of the numbers into a fraction out of the total. The total budget is 600 + 900 + 1200, or $2700.

The part representing "dances” will then be

^{900}/

_{2700} of

^{1}/

_{3}.

Similarly, the parts representing “charity” and “trip” will be

^{2}/

_{9} and

^{4}/

_{9} respectively.

Here’s how the circle graph looks like:

The arc length of each sector is equal to the quantity it represents.

**STEP 3:** Now, we know that a circle measures in total. If you

multiply the fraction representing a part of the circle by 360°, then you get the angle measure of that part.

You need to find the angle measure of the part labeled "dances". For this multiply

^{1}/

_{3} by 360°.

The angle measure of the part labeled "dances" is obtained as

**120°**.