Question

A survey of 50 students asked whether they preferwinter, spring, summer, or fall. 35 students said theypreferred summer. Find the degree measure of thepart of the circle graph that represents summer?

Answer 1

The total number of students is given as 50, and out of this total, 35 said they prefer summer.

This means on a circle graph, the degree out of a total of 360 degrees (total measure of degrees in a circle) that prefers summer is represented by a fraction of 35 over 50.

This is shown below;

$\begin{gathered} Portion\text{ that prefer summer is represented by x} \\ \text{Therefore,} \\ \frac{35}{50}=\frac{x}{360} \\ \text{Cross multiply and you'll have} \\ \frac{35\times360}{50}=x \\ 252=x \end{gathered}$

The degree measure of the part of the circle that represents summer is 252 degrees