Circle graphs and central angles

Learning Objectives Interpret data presented in a circle graph. Identify and define a central angle within a circle graph. Calculate the central angle for a given part of a whole. Convert fractional or percentage data into corresponding central angles. Construct a simple circle graph given a set of data. Explain how central angles represent proportions in a circle graph. Ever wonder how companies show what people like most, or how a budget is split? 🍕📊 Circle graphs are a super visual way to see parts of a whole! In this lesson, you'll learn all about circle graphs, also known as pie charts, and the special angles inside them called central angles. Understanding these will help you make sense of data in a fun, visual way and even create your own graphs! Real-World A...

TermDefinitionExample Circle Graph (Pie Chart)A graph that uses a circle divided into sectors (slices) to show how different parts relate to a whole.A graph showing what percentage of students chose pizza, burgers, or tacos for lunch. SectorA 'slice' of a circle graph, representing a specific category or part of the whole data set.In a graph of favorite fruits, the slice labeled 'apples' is a sector. Central AngleAn angle whose vertex (corner) is at the center of a circle and whose sides are radii of the circle. In a circle graph, it determines the size of each sector.The angle formed at the center of the pie chart by the edges of the 'pizza' slice. Whole (Total)The entire quantity or amount that the circle graph represents. All the parts together make up the...

Total Degrees in a Circle $$360^\circ$$ This is the total measure of all central angles in any circle graph. All the sectors' central angles must add up to this total. Calculating Central Angle from a Fraction/Ratio $$\text{Central Angle} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 360^\circ$$ Use this rule when you know the specific count for a category (the 'Part') and the total count (the 'Whole') to find the angle for that category's sector. Calculating Central Angle from a Percentage $$\text{Central Angle} = \left( \frac{\text{Percentage}}{100} \right) \times 360^\circ$$ Use this rule when you know the percentage that a category represents to find the angle for its sector. Remember to convert the percentage to a decimal...