Author Question: A mathematical question concerning areas and volumes? (Read 1167 times)

aero

  • Hero Member
  • *****
  • Posts: 512
A piece of wire encloses a circle of 616 cm^2   The wire is now bent into the shape of a regular hexagon. Calculate the area of the hexagon. Take pi as 22/7.

I think that the circumference of the circle is equal to the circumference of the hexagon, where each side is equal in length as it is a regular polygon.
But I'm not sure how to proceed in this question.

Any help and comments are much appreciated :)



federox

  • Sr. Member
  • ****
  • Posts: 308
length of wire = circumference of the circle (area 616 cm^2)
= 2sqrt[(22/7)616] cm = 88 cm
Area of hexagon = 6 (88/6)^2 sqrt(3) / 4 cm^2 = 558.875 cm^2



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

coco

  • Hero Member
  • *****
  • Posts: 739
If you know the area of a circle you can get the radius. If you know the radius, you can get the circumference, which is the length of wire. The area of the hexagon will be 6 * area of an equilateral triangle of side = circumference/6 (6 sides to a hexagon).



 

Did you know?

The use of salicylates dates back 2,500 years to Hippocrates’s recommendation of willow bark (from which a salicylate is derived) as an aid to the pains of childbirth. However, overdosage of salicylates can harm body fluids, electrolytes, the CNS, the GI tract, the ears, the lungs, the blood, the liver, and the kidneys and cause coma or death.

Did you know?

Of the estimated 2 million heroin users in the United States, 600,000–800,000 are considered hardcore addicts. Heroin addiction is considered to be one of the hardest addictions to recover from.

Did you know?

According to the American College of Allergy, Asthma & Immunology, more than 50 million Americans have some kind of food allergy. Food allergies affect between 4 and 6% of children, and 4% of adults, according to the CDC. The most common food allergies include shellfish, peanuts, walnuts, fish, eggs, milk, and soy.

Did you know?

In Eastern Europe and Russia, interferon is administered intranasally in varied doses for the common cold and influenza. It is claimed that this treatment can lower the risk of infection by as much as 60–70%.

Did you know?

Congestive heart failure is a serious disorder that carries a reduced life expectancy. Heart failure is usually a chronic illness, and it may worsen with infection or other physical stressors.

For a complete list of videos, visit our video library