Suggested languages for you:

Americas

Europe

Problem 557

Find the area of a regular hexagon if one side has the length of 6

Expert verified

The area of the regular hexagon is \(54\sqrt{3}\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

- Access over 3 million high quality textbook solutions
- Access our popular flashcard, quiz, mock-exam and notes features
- Access our smart AI features to upgrade your learning

Chapter 29

Find the area of a regular hexagon inscribed in a circle of radius \(\mathrm{r}\). Calculate the area explicitly when a) \(\mathrm{r}=4\), b) \(\mathrm{r}=9\), c) \(\mathrm{r}=16\) d) \(\mathrm{r}=25\).

Chapter 29

Draw a circle with a circumscribed square. If the radius length of the circle is \(\mathrm{r}\), prove that the area of the square region is \(4 r^{2}\).

Chapter 29

Prove that the area bounded by a regular polygon of \(n\) sides circumscribed about a circle with a radius of length \(\mathrm{r}\) is given by the formula \(\mathrm{A}=\mathrm{nr}^{2} \tan \pi / \mathrm{n}\).

Chapter 29

Show that the area of a regular polygon equals one-half the product of the lengths of the apothem and the perimeter.

Chapter 29

Find the area of a regular hexagon circumscribed about a circle of radius \(\mathrm{r}\). Calculate the area explicitly if a) \(\mathrm{r}=4\); b) \(\mathrm{r}=9\) c) \(\mathrm{r}=16\) d) \(\mathrm{r}=25\).

The first learning app that truly has everything you need to ace your exams in one place.

- Flashcards & Quizzes
- AI Study Assistant
- Smart Note-Taking
- Mock-Exams
- Study Planner