A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
a regular hexagon is inscribed in a circle with a diameter of 8 inches. what is the perimeter of the hexagon? what is the area of the hexagon?
anonymous
 5 years ago
a regular hexagon is inscribed in a circle with a diameter of 8 inches. what is the perimeter of the hexagon? what is the area of the hexagon?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0From the middle of the hexagon to one of its edges will be 4. A hexagon can be formed from 6 equilateral triangles The area of one equilateral triangle in this case is: A=bh/2 A=4(sin60*2) A=8sin(60) A of hexagon = 8 * 6sin(60) =\[16\sqrt{3}\] P = 4*6 = 24

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0given that its inscribed that means that it produces a hexagon that can be divided into 6 triangles. the triangles are all isosolese and the smaller part is actualy one face of the hexagon. if you drow out how this actuall looks you discover that the acute angle formed is 300/6 = 60 degrees. you can find the smaller side by simply using x/2 = 8sin30 , you use 30 degrees because you want a right trianlg ethe only way to do that is to cut it in half and produce a right triangle with acute angle 30 degrees and hypotonuse 8. Amazingly this side is 8 so the perimiter is 8*6 = 48. To find the area you can find the hight of one of the triangles which is h = 8cos30 ~~ 6.92.. then fidn the area of one triangle A = .5bh where base would be the x we found earlier so are of one triangle is A = 27.71. mustiply this by 6 to get the final answer of 166. This is however a shortcut of doing all of this useing two equations, i forgot the equations but most likely your teacher might know them or probably has already told you about them, in which case i would reccomend using the formula's since they are much faster and there is less chance of making a mistake.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.