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Ten out of 22 students surveyed prefer milk with their breakfast. Find the measure of the central angle to represent this data in a circle graph.
A. about 164°
B. about 101° 
C. about 10° 
D. about 22°

Verified Answer :

Aabout 164
10/22 = 5/11
5*360 = 1800/11 = about 164

Answer:

Option A is correct that is about 164°

Step-by-step explanation:

Given: Number of students survey = 22

           Number of students prefer milk with their breakfast = 10

We need to find measure of the central angle to represent it in a circle graph.

We know that total measures of central angles in a circle graph = 360°

So, Measure of central angle representing number of student preferring milk with breakfast = \(\frac{10}{22}\times360\)

                               =  \(\frac{3600}{22}\)

                               =  \(163.64\:\)

                               ≈  \(164\:(approx.)\)

Therefore, Option A is correct that is about 164°

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