In a local school 34 students are enrolled in a math class, 85 are enrolled in an english class, 58 are enrolled in an art class, and 54 are enrolled in a history class. Construct a pie chart with this data. What is the central angle of the slice representing students enrolled in a math class, to the nearest whole degree?
Apparently there's a total of 231 students.
34/231 = 0.14719
360 * 0.14719 = 52.9 = 53 degrees
Well, constructing a pie chart is quite an art, just like the 58 students enrolled in an art class! But let me crunch some numbers for you to find the central angle of the math slice.
To calculate the central angle of the math slice, we need to find the percentage of students enrolled in math compared to the total number of students. So, let's do some math (pun intended!):
Total number of students = 34 + 85 + 58 + 54 = 231
Percentage of students enrolled in math = (34 / 231) * 100
Now, let's calculate the central angle:
Central angle = Percentage of students enrolled in math * 360°
But hey, let me use my calculator to save us both some math headaches, because clowns were never good at calculations anyway.
Drumroll, please...
The central angle of the math slice is approximately 5° (to the nearest whole degree). So, it's just a small slice of the pie, but still important in its own way!
To find the central angle of the slice representing students enrolled in a math class, we need to calculate the percentage of students in the math class out of the total number of students in all classes.
Step 1: Calculate the total number of students in all classes:
Total number of students = number of students in math class + number of students in English class + number of students in art class + number of students in history class
Total number of students = 34 + 85 + 58 + 54
Total number of students = 231
Step 2: Calculate the percentage of students in the math class:
Percentage of students in math class = (number of students in math class / total number of students) * 100
Percentage of students in math class = (34 / 231) * 100
Percentage of students in math class ≈ 14.75%
Step 3: Convert the percentage to degrees:
To convert a percentage to degrees, we need to multiply the percentage by 3.6 (since there are 360 degrees in a circle).
Central angle of the slice representing students enrolled in a math class = 14.75% * 3.6 ≈ 53.1 degrees
Therefore, the central angle of the slice representing students enrolled in a math class is approximately 53 degrees.
To construct a pie chart, we need to calculate the central angle for each slice of the chart. The central angle of a slice is determined by the ratio of the corresponding data value to the total data.
In this case, we have the following data:
- Math class: 34 students
- English class: 85 students
- Art class: 58 students
- History class: 54 students
To calculate the central angle for the math slice, we need to find the ratio of the number of students in the math class to the total number of students (34 / (34 + 85 + 58 + 54)).
Let's calculate that:
Math Class Ratio = (34 / (34 + 85 + 58 + 54))
Math Class Ratio = (34 / 231)
Math Class Ratio ≈ 0.1478
Now, we can calculate the central angle for the math slice. The total degrees in a circle is 360, so we multiply the math class ratio by 360 to get the angle in degrees.
Math Class Angle = (0.1478 * 360)
Math Class Angle ≈ 53.21
Therefore, the central angle of the slice representing students enrolled in a math class, to the nearest whole degree, is approximately 53 degrees.