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A circle graph is used to show the percent of patient types that a hospital sees. How many degrees of the circle should the graph show to represent pediatric if 1/3 of the patients are pediatric patients?

A. 90°
B. 120°
C. 220°
D. 270⁰​

1 Answer

2 votes

Final answer:

A full circle comprises 360 degrees. To represent pediatric patients who account for 1/3 of the total, multiply 360 by 1/3. The result is 120 degrees.

Step-by-step explanation:

To determine how many degrees of the circle should be allocated to represent pediatric patients if 1/3 of the patients are pediatric, we need to calculate the corresponding angle in the pie graph based on the total degrees in a circle. A full circle comprises 360 degrees. To represent pediatric patients who account for 1/3 of the total, multiply 360 by 1/3. The result is 120 degrees.

A full circle has 360 degrees. Therefore, if pediatric patients represent 1/3 of the total, we multiply 360 by 1/3 to get the degree measure.

The calculation is as follows:
360 degrees × 1/3 = 120 degrees

So, the pie graph should show a slice of 120 degrees to represent the pediatric patients, which corresponds to option B.

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