orence Nightingale was not only a nurse, but also a statistician. She used a fferent kind of pie graph called a Polar Area Diagram. In a Polar Area agram, all the central angles are the same size, but the radius of each sector different so that all pieces have the correct percent of the area. B) For the data above, figure out what the radius should be for each major and then draw the polar area graph accordingly. (Note that since there are 3 categories here, each sector should have a central angle of 360°/3 120°.) To simplify the calculations, let the total area of the circle be 100. Be sure to show your work. = Example: If a category makes up 25% of the total, then the area of this sector should be 25% of 100 = 25. So, use 120⁰ 25= (nr²) to solve for r, and round r to the 360⁰ nearest whole number February nonbattle battle May 1854 June July December August September November January 1855 Based on Florence Nightingale's "Notes on Matters Affecting the Health, Efficiency and Hospital Administration of the British Army, 1858.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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B

Circle Graphs (or Pie Graphs) depict relative amounts to a whole. The area of each sector is proportional
to the percentage that it represents. A frequency table is given for the number of students enrolled in each
major in the Math/CS/Physics Department at Capital University during the 2021-2022 school year.
A) Fill in the chart to find the size of the central angle of each sector of the pie graph shown.
Major Computer Math or Engineering
Total
Science Integrated (CS or
Math)
13
17
+ 10 x 1000
79
≈ 16%
Frequency
Percent
(Round to
Whole
Number)
Central
Angle
(Round to
Whole
Number)
49
49
106
≈ 62%
=
X
ча
79 × 360
ĩ 22 30
Math
17
17
x 100
22%
17
79x360
≈ 78⁰
x 360
~ 59⁰
79
25 = (лr²) to solve for r, and round r to the
nearest whole number
Major Computer Math or
Science
Integrated
Math
100%
360⁰
Florence Nightingale was not only a nurse, but also a statistician. She used a
different kind of pie graph called a Polar Area Diagram. In a Polar Area
Diagram, all the central angles are the same size, but the radius of each sector
is different so that all pieces have the correct percent of the area.
Example: If a category makes up 25% of the total, then
the area of this sector should be 25% of 100 = 25. So, use
120⁰
360⁰
B) For the data above, figure out what the radius should be for each major
and then draw the polar area graph accordingly. (Note that since there
are 3 categories here, each sector should have a central angle of 360°/3
120°.) To simplify the calculations, let the total area of the circle be
100. Be sure to show your work.
Radius
Length
(Round
to Whole
Number)
C) Shade and label the given graph.
Enrollment by Major, Fall 2021
N=79
Engineering
Engineering
(CS or Math)
Math or
Integrated
Math
Causes of mortality in the army in the east
April 1854 to March 1855
July
March 1855
February
nonbattle
battle
May
Computer
Science
June
December
August
September
October
November
January 1855
Based on Florence Nightingale's "Notes on Matters Affecting the Health,
Efficiency and Hospital Administration of the British Army," 1858.
Transcribed Image Text:Circle Graphs (or Pie Graphs) depict relative amounts to a whole. The area of each sector is proportional to the percentage that it represents. A frequency table is given for the number of students enrolled in each major in the Math/CS/Physics Department at Capital University during the 2021-2022 school year. A) Fill in the chart to find the size of the central angle of each sector of the pie graph shown. Major Computer Math or Engineering Total Science Integrated (CS or Math) 13 17 + 10 x 1000 79 ≈ 16% Frequency Percent (Round to Whole Number) Central Angle (Round to Whole Number) 49 49 106 ≈ 62% = X ча 79 × 360 ĩ 22 30 Math 17 17 x 100 22% 17 79x360 ≈ 78⁰ x 360 ~ 59⁰ 79 25 = (лr²) to solve for r, and round r to the nearest whole number Major Computer Math or Science Integrated Math 100% 360⁰ Florence Nightingale was not only a nurse, but also a statistician. She used a different kind of pie graph called a Polar Area Diagram. In a Polar Area Diagram, all the central angles are the same size, but the radius of each sector is different so that all pieces have the correct percent of the area. Example: If a category makes up 25% of the total, then the area of this sector should be 25% of 100 = 25. So, use 120⁰ 360⁰ B) For the data above, figure out what the radius should be for each major and then draw the polar area graph accordingly. (Note that since there are 3 categories here, each sector should have a central angle of 360°/3 120°.) To simplify the calculations, let the total area of the circle be 100. Be sure to show your work. Radius Length (Round to Whole Number) C) Shade and label the given graph. Enrollment by Major, Fall 2021 N=79 Engineering Engineering (CS or Math) Math or Integrated Math Causes of mortality in the army in the east April 1854 to March 1855 July March 1855 February nonbattle battle May Computer Science June December August September October November January 1855 Based on Florence Nightingale's "Notes on Matters Affecting the Health, Efficiency and Hospital Administration of the British Army," 1858.
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