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.
The correct answer is 92 degrees.
To find the angle of the circle graph, we must first find how many total people are accounted for in this graph.
Plugging in from the given information, 53+8+155+17+145+10+98+2=488
Since circles are made up of 360 total degrees, we divide 360/488 for the degrees per person. This also simplifies to 45/61.
Since 145 people are in the "45-54 year-old Males" sector, we multiply 145*(45/61).
106.967 to the nearest whole number is 107, so the answer is 107.