Apothem: Definition & Formula


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question 1 of 3

Which of the following statements describes an apothem?

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1. An irregular polygon with four sides has side lengths of 3 units, 5 units, 4 units, and 7 units. What would the length of the apothem of the irregular polygon be?

2. If a regular polygon has an apothem with a length of 7 units and a perimeter equal to 49 units, what is the area of the polygon?

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About This Quiz & Worksheet

This quiz and worksheet provide problems to help you practice solving equations and formulas involving apothems. You will also get practice with the definition of the term.

Quiz & Worksheet Goals

You will be tested on the following:

  • Selecting the best description of an apothem
  • Solving for the length of an apothem
  • Using mathematical formulas to determine the area of a polygon

Skills Practiced

By completing this quiz and worksheet, you will practice these skills:

  • Making connections - use understanding of the concept of an apothem
  • Problem solving - use acquired knowledge to solve practice problems in geometry
  • Knowledge application - use your knowledge to answer questions about the area of polygons

Additional Learning

You can learn more about the characteristics of a regular polygon and the mathematical formulas involving apothems in the lesson titled Apothem: Definition and Formula. The lesson goes into greater detail about the following:

  • Additional characteristics of a polygon
  • Mathematical uses of an apothem
  • Formulas to solve for the length of an apothem and area of a polygon