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The area is about 2338.27 square units, from the formula
A = 3/2 (sqrt 3) s2 or about 2.598 s2
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Let's draw a segment from the center of the hexagon to the middle of a side. This segment is called the apothem. Then use the 30-60-90 triangle rule. If half of a side is 15, that means the apothem is 15√3.
If we divide the hexagon into equilateral triangles, we get 6 equilateral triangles.
So if we find the area for one of these triangles and multiply it by 6, we get the area of the hexagon. The area of a triangle is found by 1/2(b*h). The apothem is your height for the triangles. So plug the numbers in: 1/2(30*15√3). Solve: 1/2(779.4228) = 389.7114. This is the area of one triangle. Now we multiply by 6, and this becomes: 2338.2686
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What is the perimeter of a hexagon with side of 5 cm?
The hexagon has six sides. So the perimeter will be 6a. a=5cm 6a=6x5 =30 cm
What is the measure of a central angle of a regular 12 sided polygon?
Each side subtends a central angle of 30 degrees.
What are the area and perimeter of a square inscribed inside a circle 30 ft in diameter?
Square inscribed a 30 ft diameter has a diagonal equal to 30 ft. Use the Pythagorean theorem, and side^2 + side^2 = 30^2 2s^2 = 900 s^2 = 450 side length = square root of 450, simplify 15sqrt(2) = s Area = s^2 = 450 square feet Perimeter = 4s = 4*15*sqrt(2) = 60 times the square root of 2
How do you find the area of a 30-60-90 degree triangle that has a square root as a side length?
Same as you would find the area of any triangle A = (1/2)[base][height]
What is the largest rectangular area one can enclose with 22 inches of string?
A square of side 5½ inches gives an area of 30.25 in2. This is maximum area. Rectangle 6 x 5 has area 30, 7 x 4 has area 28 etc etc.
What is the perimeter of a regular hexagon with a side of 4x-5?
9
What is the perimeter of a regular hexagon with perimeter of 30 cm?
30cm
What is the area of a regular hexagon with apothem length of 24 inches?
For a regular hexagon, half the side length can be calculated from the apothem via trigonometry: half_side_length = apothem x tan 30° Then: area = apothem x 1/2 x perimeter = apothem x 1/2 x side_length x 6 = apothem x half_side_length x 6 = 24 in x (24 in x tan 30°) x 6 ≈ 1995 sq in
What shape has lines of symmetry that meet at 30 degrees?
a regular hexagon
The perimeter of a regular hexagon is 12x-18 how can i express in simplest algerbraic form the length of one side of the hexagon?
30
What is the perimeter of a regular hexagon with one side five eighths in?
6 times 5/8=30/8 30/8=3 6/8=3 3/4 in.
Can you prove that area formula of hexagon?
Assume regular hexagon of side L. Split the hexagon into 6 equilateral triangles. (A sketch would help here) You need to find the height of the triangle to find it's area. Split the triangle in half with a vertical line. You now have 2 right angle triangles of base L/2 height h. Top angle 30 degrees, bottom angle 60 degrees. L/(2h) = tan 30 h = L/(2tan 30) h = root 3 L/2 Area of 1 equilateral triangle = 1/2 x L x h = (root 3 x L2)/4 Area of hexagon = 6x(root 3 x L2)/4 Area of hexagon = 3x(root 3 x L2)/2
What is th formula to find the area of a hexagon?
if r = perpendicular distance center of hexagon to a side, and r^2 = r squared, then AREA = 6x r^2 x tan 30 degrees = 3.464 r^2 or if R = distance center of hexagon to a corner, AREA = 3 R^2 sin 60 = 2.598 R^2
What is the perimeter of a hexagon with side of 5 cm?
The hexagon has six sides. So the perimeter will be 6a. a=5cm 6a=6x5 =30 cm
What is a side number?
the multiplied total of the sides of a pentagon (5) and the sides of a hexagon (6)... your answer is 30
What must true in order for a hexagon to tessellate a plane?
The intuitive, but wrong, answer is that it must be regular. It need not be.For example, a hexagon with 6 angles, each measuring 120 degrees is not necessarily regular but it will tessellate. In fact, the angles could be(30, 120, 120, 120, 30, 300) degrees - a chevron, like an armed forces stripe, or(30, 30, 300, 30, 30, 300) degrees - a Z shape, or(90, 90, 90, 90, 90, 270) degrees. an L shape.
What is the apothem of a regular hexagon with sides of 8 inches?
4 times the square root of 3. Use an equilateral triangle and 30-60-90 triangles.
