Central Angles and Pie Charts

The video tutorial explains how to calculate central angles for pie charts, using examples such as a family's budget and a school art program survey. It covers the concept of central angles, how to represent data as fractions of a whole, and how to convert these into degrees for pie chart representation. The tutorial also includes a practical example involving a college curriculum to demonstrate calculating percentages.

What is a central angle in the context of a pie chart?

• An angle that starts at the edge of the circle

• An angle that starts at the center of the circle

• An angle that is always 180 degrees

• An angle that is always 90 degrees

How many degrees are there in a full circle?

• 90 degrees

• 360 degrees

• 270 degrees

• 180 degrees

To calculate a central angle, you need to multiply the fraction of the part by how many degrees?

• 360 degrees

• 180 degrees

• 270 degrees

• 90 degrees

What is the first step in calculating a central angle for a pie chart?

• Find the total number of degrees in the circle

• Determine the fraction or percentage of the part

• Draw the pie chart

• Measure the angle with a protractor

In the family budget example, what is the total budget amount?

• $2000

• $1500

• $1750

• $1150

What fraction represents the housing budget in the family budget example?

• 650/1750

• 700/1750

• 600/1750

• 500/1750

What is the central angle for the housing section in the family budget example?

• 120 degrees

• 134 degrees

• 100 degrees

• 150 degrees

In the school art program example, how many students wanted an after-school art program?

• 240 students

• 60 students

• 180 students

• 300 students

What is the total number of students surveyed in the school art program example?

• 500 students

• 700 students

• 400 students

• 600 students

What is the central angle for the after-school group in the school art program example?

• 180 degrees

• 120 degrees

• 144 degrees

• 160 degrees