Hexagon area

The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area.

Correct answer:

a =  24.2487 cm
S =  1527.687 cm²

Step-by-step explanation:

$a=21\cdot 2\mathrm{/}\sqrt{3}=24.2487\text{ cm}$

$S=6\cdot 21\cdot 24.249\mathrm{/}2=1527.687{\text{cm}}^2$

Try another example

Related math problems and questions:

• 6 regular polygon
  It is given 6 side regular polygon whose side is 5 cm. Calculate its content area. Compare how many more cm² (square centimeters) has a circle in which is inscribed the 6-gon.
• Hexagon
  Calculate the regular hexagonal prism's surface whose base edge a = 12cm and side edge b = 3 dm.
• Hexagonal prism
  The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.
• Center of gravity
  In the isosceles triangle ABC is the ratio of the lengths of AB and the height to AB 10:12. The arm has a length of 26 cm. If the center of gravity T of triangle ABC find area of triangle ABT.
• Hexagon A
  Calculate area of regular hexagon inscribed in circle with radius r=9 cm.
• Right isosceles
  Calculate area of the isosceles right triangle which perimeter is 26 cm.
• Squares above sides
  Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm². The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc
• Triangle eq
  Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area.
• Find the
  Find the content of a regular 12 sided polygon, if its side a = 12 cm.
• Hexagon
  There is regular hexagon ABCDEF. If area of the triangle ABC is 22, what is area of the hexagon ABCDEF? I do not know how to solve it simply....
• Hexagon ABCDEF
  In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.
• Hexagon cut pyramid
  Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
• Hexagonal pyramid
  Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm.
• Five-gon
  Calculate the side a, the circumference and the area of the regular 5-angle if Rop = 6cm.
• Glass mosaic
  How many dm² glass is nessesary to produc 97 slides of a regular 6-gon, whose side has length 21 cm? Assume that cutting glass waste is 10%.
• Diagonals
  Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
• Triangular prism
  The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C', has an angle with base 22 degrees, |AB| = 6 cm. Calculate the volume of the prism.