## What is the formula for finding the area of a regular?

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

### How do you find the area of Apolygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

What’s a regular pentagon?

In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.

What is the apothem of a regular polygon?

The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

## What is a 4 sided shape with unequal sides?

A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.

### What shape has 4 sides of different lengths?

Trapezium. A trapezium is a quadrilateral with one pair of parallel sides that are different lengths.

What is a regular hexagon?

A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In case of any regular polygon, all its sides and angles are equal.

What is a shape called with 6 sides?

hexagon
In geometry, a hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles also. Hexa means six and gonia means angles. We can find the shape of a hexagon in a honeycomb, a football, face of pencil, and floor tiles.

## What is a regular polygon examples?

The examples of regular polygons are square, rhombus, equilateral triangle, etc. In regular polygons, not only the sides are congruent but angles are too. That means, they are equiangular.

### How do you find the apothem of a regular hexagon?

To calculate the apothem of a hexagon, start by dividing the hexagon into 6 triangles. Then, divide one of the triangles in half to create 2 right triangles. Next, plug the length of one of the right triangle’s base and hypotenuse into the Pythagorean Theorem. Finally, solve for a to get the apothem of the hexagon.

What is a regular polygon 3 sides?

(i) A regular polygon of 3 sides is called an equilateral triangle.

How do you calculate the area of a regular pentagon?

The perimeter is 6 x 10 ( n x s ),equal to 60 (so p = 60).

• The apothem is calculated by its own formula,by plugging in 6 and 10 for n and s.
• The area of the polygon is Area = a x p/2,or 8.66 multiplied by 60 divided by 2.
• ## What is the area of a regular pentagon?

Thus, the area of the regular pentagon is 84.3 square inches. Area of Irregular Polygons An irregular polygon is a plane closed shape that does not have equal sides and equal angles.

### What is the equation for the area of a pentagon?

The length of the triangle’s short leg (1 2 1 2 the pentagon’s side)

• The right angle (90° 90 ° angle) is opposite the hypotenuse (perpendicular bisector of the side)
• 36° 36 ° acute angle opposite the short leg 360° 360 ° divided among 10 10 right triangles)
• 54° 54 ° acute angle opposite the long leg (1 2 1 2 of the 108° 108 ° interior angle)
• How do you find the area of a pentagon?

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