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Hexagon calculator The diameter of the hexagon is 12. how do i figure out the area

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I will not try to guess what that diameter represents, so I will give you all mensuration formulas for the area of a regular polygon.
s is the measure of the side, r the radius of the inscribed circle, R the radius of the circumscribed circle, and n the number of sides.
If the angle unit in your calculator is the degree, use 180 instead of Pi. Use the formulas with PI if angle unit is set to radians.
In the formulas on the last line of the display screen (the formulas with sine functions) the radius r should be R (circumscribed circle radius). cot is the reciprocal of the tangent function (cot(x)=1/tan(x) )

Posted on Apr 16, 2014

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Posted on Jan 02, 2017

Well it depends. If the hexagon is irregular (sides are not equal) there is no formula to calculate the sides as they can have arbitrary values. You must measure them.
If the hexagon is regular you may be able to relate the measure of a side to the radius of the circle in which it is inscribed. If you have the radius of the circle, the side is equal to the radius. If you have the value of perimeter you divide that value by 6.
There is also a formula that relates the area of the hexagon to the measure of the side s. The formula is Area=(6/4)(s^2)cot(PI/6), where cot is the cotangent function, its angle is in radian. In degrees Pi/6 is 30 degrees.

Posted on Jan 02, 2012

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Related Questions:

What is the area of a circle if the circumference is 2 pi inches

area formula is PI x r squared
that is 3.1417 times the radius of the circle squared
example is:- 3.1417 times 3 inches squared =3.1417 times 3x3=3.1417x9=28.279 square inches if you want to work back from a circumference measurement, the formula for circumference is 2 x PI x radius or PI x diameter
if you have a circumference of 12 inches then the dia is calculated 12 inches = dia x PI to get the diameter , divide the 12 inches by PI and that will be the diameter so that is 12 divided by 3.1417 =3.819 inches
now you can go from the first formula the radius is the diameter divided by 2 so the radius will be 3.819 divided by 2 = 1.909 inches
so applying the area formula it becomes 3.1417 times 1.909 times 1.909 =11.458 square inches
to find your answer simply substitute the dimensions in place of the example figures.in the relevant formula.

Aug 24, 2015 | Office Equipment & Supplies

All these answers are for square objects. How do I find the measurements of a round object, i.e. a cement mixer?

Hi Debbie:
You still get to use your calculator, but you need to use the mathematical formulae dealing with circles.
Area = pi times r squared
Volume of a cylinder = Area (of one end) times length.

For your cement mixer, (Average the diameter for simplicity)
All of the measurements need to be in the same units, lets use inches, then convert it to cubic feet.....
the volume would be:
pi (22 divided by 7)
times
1/2 diameter
times
1/2 diameter
times
depth

For my ancient mixer that would be:
22 / 7 x 10" x 10" x 22" = 6,914 cubic inches
1 cubic foot equals 12" x 12" x 12" equals 1728 cubic inches.
6,914 divided by 1728 equals 4 cubic feet.

Now we don't fill it right up, but that is its capacity.

Hope that helps.
By the way, my mixer likes 10 shovel fulls of navvy, 2 shovels of type 10 cement, and about 2 quarts of water to get a nice mix.
I do the water first,
then 5 navvy
then 2 cement
then another 5 navvy,
then just enough water to get the right consistency.
Cheerfuls!

May 10, 2015 | Office Equipment & Supplies

Volume of cylinder 1000 * .037 metres

If the length of the cylinder is 1 000m and the diametre is 0.037m, you need to figure out the area of the circular top or bottom and then multiply it by the length. Remember the radius is half of the diameter.

If the length of the cylinder is 1 000m and the radius is 0.037m, you use the radius to figure out the area of the circular top or bottom and multiply it by the length.
Yahoo Image Search

Feb 23, 2015 | Office Equipment & Supplies

Area

A hexagonal based prism has a lateral area that is made up of 6 rectangular faces. If the hexagon at the base is regular, all the lateral rectangles are congruent (identical).
To calculate the lateral area of one of the rectangular faces you need to multiply the length of a side (s) of the regular hexagon by the height (h).
For the lateral area of the prism use A_l=6*s*h=P_b*h, where P_b is the perimeter of the base.
Sorry I cannot proceed further, because "using the area and the height?" is not clear enough for me.

May 22, 2013 | Computers & Internet

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel...

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area of a geometrically similar patio is 250 square feet, and its long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio?

Feb 22, 2013 | Office Equipment & Supplies

WHAT IS THE AREA OF a circle with a diameter of 20 cm

Come on princess. Use the formula for the area of a circle: Area=PI*D*D/4
where PI can be entered using a key on the calculator, and D is the diameter.
Area =100*Pi cm^2 or about 314.159 cm^2

Feb 03, 2012 | Office Equipment & Supplies

How to calculate the sides of a hexagon?

Well it depends. If the hexagon is irregular (sides are not equal) there is no formula to calculate the sides as they can have arbitrary values. You must measure them.
If the hexagon is regular you may be able to relate the measure of a side to the radius of the circle in which it is inscribed. If you have the radius of the circle, the side is equal to the radius. If you have the value of perimeter you divide that value by 6.
There is also a formula that relates the area of the hexagon to the measure of the side s. The formula is Area=(6/4)(s^2)cot(PI/6), where cot is the cotangent function, its angle is in radian. In degrees Pi/6 is 30 degrees.

Dec 31, 2011 | Office Equipment & Supplies

How do I determine the open space in a 12" cube

Determine the volume of the cube

Which is calculated by:
length x width x depth

then subtract the volume of the sphere's

Which is calculated by:
Number of spheres multiplied by (4/3) * pi * radius3

To figure out how many sphere's you can fit in the cube

Divide the width of the cube by the diameter of the sphere then cube that number
(try it with a larger diameter sphere for example 6" sphere and sketch it out, you will see why)

0.01" Sphere-Total Volume

12"/0.01"=1200

1200^3 = 1.728 E 9 = Number of sphere's in the cube

1.728 E 9 x (4/3) * pi * 0.0053=904.32 cubic inches

Volume of Cube = 1728

Remaining Volume = 1728-904.32 = 823.68

You should be able to figure out how to do the other one.

Jun 18, 2011 | Sharp Office Equipment & Supplies

What is the edge length of a hexagon with a circle radius of 22 inches?

A regular hexagon is made up of six equilateral triangles. This means that the length of any one side of the hexagon is equal to the radius.

Jun 02, 2011 | Texas Instruments TI-83 Plus Calculator

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