Browse · MATH
Printjmc
prealgebra senior
Problem
Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the following information.
53 male physicians are under 35 years of age.
8 female physicians are under 35 years of age.
155 male physicians are between 35 and 44 years of age.
17 female physicians are between 35 and 44 years of age.
145 male physicians are between 45 and 54 years of age.
10 female physicians are between 45 and 54 years of age.
98 male physicians are over 54 years of age.
2 female physicians are over 54 years of age.
If he wants to include each of the eight groups in his graph, how many degrees would he use for the central angle of the "45-54 year-old Males" sector? Express your answer to the nearest whole number.
53 male physicians are under 35 years of age.
8 female physicians are under 35 years of age.
155 male physicians are between 35 and 44 years of age.
17 female physicians are between 35 and 44 years of age.
145 male physicians are between 45 and 54 years of age.
10 female physicians are between 45 and 54 years of age.
98 male physicians are over 54 years of age.
2 female physicians are over 54 years of age.
If he wants to include each of the eight groups in his graph, how many degrees would he use for the central angle of the "45-54 year-old Males" sector? Express your answer to the nearest whole number.
Solution
In total there are physicians of aerospace medicine. 45-54 year-old males account for of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get degrees.
Final answer
107