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Chapter 9: Problem 1

Define the key terms. a. Circle graph b. Sector

Short Answer

Expert verified
Circle graph: a type of graph using a circular shape divided into proportional sectors. Sector: a 'slice' of a circle created by two radii and an arc.

Step by step solution

01

Define 'Circle Graph'

A circle graph, also known as a pie chart, is a type of graph in which a circle is divided into sectors that each represent a proportion of the whole. The entire circle represents 100% of the data set being analyzed, and each sector's size is proportional to the percentage it represents.
02

Define 'Sector'

A sector of a circle is a portion of the circle enclosed by two radii and the corresponding arc. It looks like a 'slice' of the pie in a pie chart. The size of the sector is proportional to the angle subtended at the circle's center by the sector.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

pie chart
A pie chart, sometimes referred to as a circle graph, is a visual tool used to represent data. Imagine a whole pie, and each slice of the pie is a piece of your data set.
Instead of just numbers, you get a clear visual of how much each part contributes to the whole by using different colors for each slice. The entire circle symbolizes 100% of your data. This way, each slice (or sector) of the pie has a size that matches the percentage it represents.
For example, if you鈥檙e looking at a pie chart of favorite ice cream flavors, and 25% of people like chocolate, then one-quarter of the pie will be dedicated to chocolate lovers.
sector
A sector is like a slice of pie in a pie chart. It is formed by drawing two radii (straight lines from the circle鈥檚 center to its edge) and the corresponding arc.
Imagine any circular pizza; when you cut it into slices, each slice represents a sector. Every sector has a central angle, which is the angle formed at the center of the circle. The size of the sector depends on this angle.
The bigger the angle, the larger the sector, just as a larger slice takes up more space on the pizza. If a sector takes up 90掳 of the circle, it represents one-quarter of the circle since a full circle is 360掳.
data representation
Representing data accurately is crucial for understanding and communication. Pie charts are one of the many ways data can be represented. They are excellent for showing proportions because each sector easily shows how parts relate to the whole. However, it鈥檚 important to choose the right type of chart based on the data you have.
  • Pie charts work best for showing parts of a whole.
  • Bar charts are better for comparing different groups.
  • Line graphs are ideal for showing trends over time.
Always make sure your chart has a clear legend to explain what each color or section represents.
percentage
A percentage is a way of expressing a number as a fraction of 100. It鈥檚 denoted using the % symbol. For example, 50% means 50 out of every 100.
In the context of a pie chart, once you know the total amount of data, you can easily find out the percentage for each sector. Just divide the value of the sector by the total and then multiply by 100.
To illustrate: If you have a pie chart representing a budget of \(1000, and one sector represents \)250 spent on books, it takes up \(\frac{250}{1000} \times 100 = 25\text{%}\t \text{ \)} of the pie chart. Understanding percentages helps you quickly see the relative size of each part compared to the whole.

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