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I only know it for sure for a circle with diameter equal to 1. The perimeter of a polygone with n sides inscribed in a circle with diameter 1 is equal to n times sin (pi/n), so for a hexagon it is 6 times sin (pi/6) = 3.0000.
For circles having another diameter, I would intuitively say that the formula becomes diameter times n times sin (pi/n).
What else can I help you with?
What is the perimeter of a regular hexagon?
The perimeter of a regular hexagon is: length times the # of sides, which in this case happens to be six. The perimeter of a regular hexagon= l(6)
What is the area of a regular hexagon with a perimeter 120m?
The area of a regular hexagon with a perimeter 120m is about 1039.2m2
What is the perimeter of a regular hexagon with a side of 7?
A hexagon has 6 sides and so 6*7 = 42 which is its perimeter
If a circle is inscribed in a hexagon which of the following must be true?
A. The hexagon is circumscribed about the circle . D. Each vertex of the hexagon lies outside the circle . E. The circle is tangent to each side of the hexagon .
What is the perimeter of a regular hexagon with a side length of 6.8 mm?
The perimeter of a regular hexagon with a side length of 6.8mm is 40.8mm
What is the relationship between the perimeter of the hexagon and the circumference of the circle?
A hexagon is divided into 6 equilateral triangles; the circle around the hexagon has a radius the length of one of these triangles. So the circumference is S x 2pi, s being the side of the hexagon. The perimeter of the hexagon is 6s. So the relationship is that you multiply it by 1/3 pi
What is the perimeter of a hexagon having 225 cm square area of a circle inscribed in it?
Area of circle = 225 cm2 implies radius = 8.46 cm (approx) Therefore, apothem of hexagon = 8.46 cm then side of hexagon = apothem*2/sqrt(3) = 9.77 cm (approx) and so perimeter = 6*side = 58.63 cm
What is the area of a hexagon with the perimeter of 120ft?
The area of a hexagon with the perimeter of 120ft is 1,039.2ft2
What is the perimeter of a hexagon with an apothem of 12?
The perimeter of a hexagon with an apothem of 12 is 83.14
What is the perimeter of a regular hexagon?
The perimeter of a regular hexagon is: length times the # of sides, which in this case happens to be six. The perimeter of a regular hexagon= l(6)
How do you find perimeter of hexagon?
How to do find hexagon
A regular hexagon has a side length of 15cm. What is the perimeter of the hexagon?
The perimeter of the hexagon is 6 times 15 = 90 cm
What is the area of a regular hexagon with a perimeter 120m?
The area of a regular hexagon with a perimeter 120m is about 1039.2m2
Is circle has larger area or hexagon has larger area?
The area comparison between a circle and a hexagon depends on their respective dimensions. A circle's area is determined by the formula (A = \pi r^2), where (r) is the radius. A regular hexagon's area is given by (A = \frac{3\sqrt{3}}{2} s^2), where (s) is the length of a side. If you compare them based on the same perimeter, the circle will generally enclose a larger area than a hexagon.
Will a hexagon tessellate or a circle?
Hexagon: Yes Circle: No
What is the area of a hexagon with a perimeter of 12 units?
The area of a hexagon with a perimeter of 12 units is about 10.4 units2
Why is the formula for circle's area pi times r squared?
Here is one way of approaching this formula.We need to know two things:* the area of a triangle is half the base times the altitude; * the circumference of a circle is 2 pi r. Draw a circle and inscribe a hexagon inside the circle. Then draw the radii from the centre of the circle to each of the six vertices of the hexagon. (Sorry, I don't have a diagram.)The hexagon has been divided into six triangles. Look at one of these triangles: it has base one side of the hexagon and altitude a bit less than the radius of the circle.The area of all six triangles is6 times (1/2) times (side of hexagon) times (altitude of triangle).Shuffle this slightly to get(1/2) times 6 times (side of hexagon) times (altitude of triangle).Now 6 times (side of hexagon) is the perimeter of the hexagon. Soarea of hexagon = (1/2) times (perimeter of hexagon) times (altitude of triangle).Do this again with a 12-sided figure instead of a hexagon, then a 24-sided figure, and so on. We getarea = (1/2) times (perimeter of many-sided figure) times (altitude of triangle).If we take a figure with a lot of sides, its area will be very close to that of the whole circle, its perimeter will be very close to the circumference of the circle, and the altitude of one of the (very thin) triangles will be very close to the radius.So (waving my hands a bit here),area of circle = (1/2) times (perimeter of circle) times (radius of circle).If we know that the perimeter of the circle is 2 pi r, we getarea of circle = (1/2) time 2 time pi times r times r = pi times r squared.This isn't quite a precise proof, because of the hand-waving bit. But it could be made into one. See Archimedes' proof in http://en.wikipedia.org/wiki/Area_of_a_disk.
