An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
To find the number of electrons that flow through a device delivering 15.0 A for 30 seconds, we calculate the total charge as 450 coulombs. Dividing this by the charge of a single electron (approximately 1.6 × 1 0 − 19 C), we find that about 2.81 quintillion electrons pass through the device in that time period.
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The angle of a sector in a pie chart is calculated using the formula: \text{Sector Angle} = \frac{360}{\text{Total Number of Data Points}} \times \text{Frequency of the Data Point}} .
This formula determines the size of each sector, representing the proportion of each data point.
A protractor is used to accurately draw each sector, ensuring the pie chart visually represents the data's distribution.
Each sector is labeled to clearly indicate the data it represents. Sector Angle = Total Number of Data Points 360 × Frequency of the Data Point
Explanation
Understanding the problem The problem describes how to calculate the angle of a sector in a pie chart. It states that the angle of each sector is found by dividing 360 degrees (the total degrees in a circle) by the total number of data points and then multiplying by the frequency of each data point. The formula for this calculation is also provided. Finally, it mentions that a protractor is used to construct each sector with the calculated angle.
Stating the formula The formula to calculate the angle of a sector is given by: Sector Angle = Total Number of Data Points 360 × Frequency of the Data Point This formula is used to determine the size (in degrees) of each sector in the pie chart, which represents the proportion of each data point relative to the whole dataset.
Constructing the pie chart To construct a pie chart:
Calculate the sector angle for each data point using the formula above.
Draw a circle.
Use a protractor to draw each sector, starting from 0 degrees. The angle of each sector corresponds to the calculated sector angle for each data point.
Label each sector with the corresponding data point.
Examples
Pie charts are commonly used in business to represent market share, in surveys to show the distribution of responses, and in education to illustrate the proportion of different categories within a dataset. For example, a pie chart could show the percentage of students enrolled in different subjects at a school, or the distribution of a company's expenses across various departments. Understanding how to create and interpret pie charts is a valuable skill in many fields.
