A hexagon is a close up door 2D form that is consisted of of right lines. That is a two-dimensional shape with six sides, six vertices, and six edges. The name is divided into hex, which way six, and gonia, which means corners.

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1. | Hexagon Definition |

2. | Types that Hexagon |

3. | Properties of a Hexagon |

4. | Hexagon Formulas |

5. | FAQs ~ above Hexagon |

Hexagon is a two-dimensional geometrical form that is made of 6 sides, having the exact same or different dimensions of length. Part real-life instances of the hexagon space a hexagonal floor tile, pencil, clock, a honeycomb, etc. A hexagon is one of two people regular(with 6 same side lengths and also angles) or irregular(with 6 unequal next lengths and angles).

Hexagons deserve to be classified based on their next lengths and internal angles. Considering the sides and also angles of a hexagon, the types of the hexagon are,

**Regular Hexagon:**A continual hexagon is one that has actually equal sides and angles. Every the inner angles the a constant hexagon room 120°. The exterior angle measure 60°. The sum of the inner angles the a consistent hexagon is 6 times 120°, i beg your pardon is same to 720°. The sum of the exterior angles is same to 6 time 60°, which is equal to 360°.

**Irregular Hexagon:**An rarely often, rarely hexagon has actually sides and also angles of various measurements. All the interior angles are not equal to 120°. But, the amount of all inner angles is the same, i.e 720 degrees.

**Convex Hexagon:**A convex hexagon is one in which all the internal angles measure less than 180°. Convex hexagons can be continuous or irregular, which method they can have same or unequal next lengths and angles. All the vertices the the convex hexagon are pointed outwards.

**Concave Hexagon:**A concave hexagon is one in which at the very least one that the interior angles is higher than 180°. Over there is at the very least one vertex the points inwards.

A hexagon is a flat two-dimensional shape with 6 sides. It may or may not have actually equal sides and also angles. Based on these facts, the vital properties that a hexagon space as follows.

It has actually six sides, 6 edges, and also six verticesAll the next lengths are equal or unequal in measurementAll the inner angles room equal to 120° in a regular hexagonThe sum of the interior angles is always equal to 720°All the outside angles are equal to 60° in a regular hexagonSum the the exterior angles is same to 360° in a hexagonA continual hexagon is also a convex hexagon because all its internal angles are much less than 180°A continuous hexagon can be separation into 6 equilateral trianglesA consistent hexagon is symmetrical as each of its side lengths is equalThe opposite political parties of a continual hexagon are constantly parallel to every other.As with any polygon, a consistent hexagon likewise has a different formula to calculate the area, perimeter, and also a variety of diagonals. Let us look right into each one of them.

### Diagonals that a Hexagon

A diagonal is a segment that a line, the connects any type of two non-adjacent vertices the a polygon. The number of diagonals that a polygon is provided by n(n-3)/2, wherein 'n' is the variety of sides of a polygon. The number of diagonals in a hexagon is offered by, 6 (6 - 3) / 2 = 6(3)/2, i beg your pardon is 9. The end of the 9 diagonals, 6 of them pass with the facility of the hexagon.

### Sum of inner Angles the Hexagon

The sum of interior angles developed by a constant hexagon is 720˚ (because each angle is 120˚ and also there space 6 together angles including up come 720˚). The is given by the formula for continual polygon, where n is a variety of sides, which has a value of 6 for hexagonal shape. The formula is (n-2) × 180°. Therefore, (6-2) ×180° which offers us 720°.

The area of a continuous hexagon is the an are or the an ar occupied by the shape. That is measure up in square units. Let us divide the hexagon right into 6 equilateral triangle as shown below. Let us calculate the area of one triangle and also multiply it by 6 to gain the whole area of the hexagon.

Area of one equilateral triangle is √3a2/4 square units. Hence, the area that a constant hexagon developed by combining 6 such triangles is,

6 × √3a2/4= 3√3a2/2 square units

Therefore, the formula for the continual hexagon area is **3√3a2/2 square units.**

### Perimeter the a Hexagon

Perimeter is the full length of the border or the outline of a shape. Considering the side of a continuous hexagon together 'a' units, the constant hexagon perimeter is provided by summing increase the size of every the political parties which is same to** 6a units. **Therefore, the **perimeter that a regular hexagon = 6a units**, and also the **perimeter of an rarely often, rarely hexagon = (a + b + c + d + e + f) units**, where, a, b, c, d, e, and f are the side-lengths the the hexagon.

**☛ Topics pertained to Hexagon**

Check out part interesting short articles related to hexagons.

**Example 1: What is the area of a continuous hexagon v sides same to 3 units?**

**Solution:**

Area the a continuous hexagon = 3√3a2/2 square units.Given next 'a' = 3 unitsTherefore, area = 3(√3)32/2= (3 × √3 × 9) /2= (27× √3) / 2= 23.382 square units,

**Example 2: find the length of every side of a constant hexagon, if the hexagon's area is 150**√**3**** square units. Use the size of the sides to find the perimeter that the hexagon. **

**Solution:**

Applying the formula the area that a continuous hexagon,

Area the a regular hexagon = 3√3a2/2 square units.Therefore, 150√3 = 3√3a2/2300√3 = 3√3a2Canceling √3 top top both sides,300/3 = a2100 = a2a = √100Therefore, the size of each side, a = 10 units.

Therefore, the length of the political parties of the hexagon = 10 units.Perimeter that a constant hexagon = 6a units.a = 10 units. Therefore,Perimeter = 6 × 10Therefore, the given constant hexagon perimeter = 60 units.

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