Arc Length and Area of a Sector Problem Set

You and five friends decide to go out and share a pizza for dinner. As a group, you select a pizza with a diameter of 16 inches. In this assignment, use the information below to determine each person’s crust size and the size of each slice of pizza. Each person is only going to have one slice of pizza. Answer all of the questions in the blank spaces provided making sure to show all of your work. Round your answers to the nearest hundredth.

The central angles made by each slice of pizza listed in the following table:

Name	Central Angle of Pizza Slice
John	36°
Susan	45°
Ashley	70°
Kevin	90°
Amy	80°
Lisa	29°

1. What is the length of the crust in John’s slice?
   
   
2. What is the area of John’s slice?
   
   
3. What is the length of the crust in Susan’s slice?
   
   
4. What is the area of Susan’s slice?
   
   
5. What is the length of the crust in Ashley’s slice?
   
   
6. What is the area of Ashley’s slice?
   
   
7. What is the length of the crust in Kevin’s slice?
   
   
8. What is the area of Kevin’s slice?
   
   
9. What is the length of the crust in Amy’s slice?
   
   
10. What is the area of Amy’s slice?
    
    
11. What is the length of the crust in Lisa’s slice?
    
    
12. What is the area of Lisa’s slice?
    
    
13. Who had the largest slice of pizza?

This activity is also available in a printable document.

 

After completing this assignment, please submit your work to the dropbox.