Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of each central angle in the circle graph for the following: a.sleeping b.eating

for eating, it didn't make sense for it to be 288 degrees, so i eliminated the two off the list. For sleeping, it made more sense for it to be a 118.8 degree angle, so I narrowed it down to C.

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Anshuyadav Anshuyadav · Answer 2 · 2022-06-04T06:52:36+02:00

The central angle for sleeping is 118.8 degrees and the central angle for eating is 28.8 degrees.

What is the central angle of a pie chart?

The angle formed by an arc of the circle at the center of the circle is called central angle of a pie chart.

How to find the central angle of a pie chart?

central angle = [tex]\frac{sector}{100}[/tex] × 360

According to the given question

We have a pie chart

In which, time spend by students in different activities is given.

Now,

The measure of central angle for sleeping is given by

Central angle for sleeping = [tex]\frac{sector}{100}[/tex] × 360

⇒ Central angle for sleeping =[tex]\frac{33}{100}[/tex] × 360 = 118.8 degrees.

Similarly,

The measure of central angle for eating is given by

Central angle for eating = [tex]\frac{8}{100}[/tex] × 360 = 28.8 degrees

Hence, first option is correct.

Learn more about the central angle of pie chart here:

https://brainly.com/question/9473378

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