Question

some randomly selected people were given a survey about their favorite nuts. favorite nuts pistachios 14.5% walnuts 17% peanuts 15% brazil nuts 17.5% pine nuts 20% macadamia nuts 16% what is the measure of the central angle in the \walnuts\ section?

Explanation:

Step1: Recall angle - percentage relation

A full - circle has 360°.

Step2: Calculate central angle for walnuts

The percentage of people who like walnuts is 17%. The central angle $\theta$ for the walnuts section is calculated by $\theta=\frac{17}{100}\times360$.
$\theta = 0.17\times360=61.2$ degrees.

Answer:

61.2