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Areas of Regular Polygons

Master areas of regular polygons with interactive lessons and practice problems! Designed for students like you!

Understanding Areas of Regular Polygons

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Video explanation of this concept

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Beginner

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Beginner Explanation

The area of a regular polygon can be calculated using the formula $A = \frac{1}{2}Pa$, where A is area, P is the perimeter, and a is the apothem of the polygon.
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Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

A regular hexagon has an apothem of length $5m$. If the side length is $5.77m$, what is the area of the hexagon?

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2

Real-World Problem

Question Exercise
Intermediate

Pizza Scenario

A pizza has been cut into 8 equal slices, forming a regular octagon. If the distance from the center of the pizza to the midpoint of a slice (the apothem) is $5cm$, and the length of a slice (a side of the octagon) is $4.14cm$, what is the area of the pizza?
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

If a regular polygon has an apothem of length $a$, and a perimeter of length $P$, what happens to the area of the polygon if you double the apothem but keep the perimeter the same?

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4

Challenge Quiz

Single Choice Quiz
Advanced

A regular polygon has a perimeter of $30cm$ and an apothem of length $5cm$. If you double both the perimeter and the apothem, what happens to the area?

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Recap

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Review key concepts and takeaways

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