Chapter 13: Q45. (page 707)

Find the area of regular hexagon with point $O$ as its center.

Short Answer

Expert verified

The area of regular hexagon is $93.5 sq. units$ .

Step by step solution

Step 1. Write down the given information.

The given regular hexagon ABCDEF is reconstructed and shown below having given side $B C = 6$ .

Step 2. Concept used.

A regular hexagon comprises of six equilateral triangles, whose area is given as:

$Area of regular hexagon = 6 (\frac{\sqrt{3}}{4} a^{2})$ , where $(a)$ is the side of regular hexagon.

Step 3. Calculation.

Evaluating the area of given regular hexagon of given side $B C = 6$ , by the concept stated above.

$\begin{matrix} Areaofregularhexagon = 6 (\frac{\sqrt{3}}{4} a^{2}) \\ = (6) (\frac{\sqrt{3}}{4} {(6)}^{2}) \\ = 93.5 sq.units \end{matrix}$

Hence, the area of regular hexagon is $93.5 sq. units$ .

Step 4. Conclusion.

The area of regular hexagon is $93.5 sq. units$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the area of regular hexagon with point $O$ as its center.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Find the area of regular hexagon with point O as its center.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Probability and Statistics

Decision Maths

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Find the area of regular hexagon with point $O$ as its center.