If it is a regular polygon--meaning that all the sides are congruent and all the angles are congruent, then the formula for area of the polygon is A=1/2 ap Here a represents the apothem, which is the distance from the center of the polygon to the midpoint of one side. p represents the perimeter of the polygon found by multiplying one side length by the number of sides. If you only know one variable such as side length, you can find the perimeter and you can find the apothem using trigonomety.
The lengths of sides of any polygon with more than 3 sides do not provide enough information to calculate the area. For example, a square can be skewed into a rhombus which can then be made so thin that its area is [asymptotically] equal to 0.
No, a line is not a polygon. A polygon is a closed plane area bounded by straight sides. A line, by itself, does not contain an area.
The perimeter of a polygon is the sum of the length of each of its sides. If the polygon is a regular polygon the you can calculate the perimeter as [number of sides] *[the length of one side]
A polygon has lengths, angles, a perimeter and area.
The area of a polygon is the two-dimensional set of all points surrounded by the sides of the polygon. If you're looking for an equation, it varies based on the number of sides and the shape of the polygon.
For example, you can divide the polygon into triangles, and calculate the area of each triangle.
38.3,176,4,64,124.10
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.
To calculate rainfall using the Thiessen polygon method, you first need to divide the area into polygons based on rain gauge locations. Then, calculate the area of influence of each rain gauge within its polygon. Finally, you can determine the weight of each rain gauge based on its influence area, which is used to calculate the average rainfall for the entire region.
You cut the shape down into smaller shapes that you recognise and know how to calculate the area of. Then calculate the area of the small shapes and add the all up.
The area of a polygon is greater than the area of the largest circle that can be inscribed within the polygon and smaller that the area of the smallest circle in which the polygon can be enclosed. So the areas of two circles establish a lower and upper bound to the area of the polygon. In a similar fashion, the perimeter of the polygon are also bounded by the circumferences of the two circles. This also works in reverse. That is, the area of a circle lies between the area of an inscribed polygon and that of a polygon containing the circle. And, again, the same applies to the circumference/perimeter. In fact these bounds were used to calculate the value of pi.
A polygon with no congruent sides is not going to have any convenient formula by which the area can be calculated, however, you can always break it up into a series of triangles and rectangles, and then calculate the area of those, and add up the results.
To find the area of a polygon, you generally need to first calculate the perpendicular height of the shape, and then multiply this by the base length. Formulas will vary depending on the type of polygon (such as triangle, rectangle, etc.). For more complex shapes, you may need to divide the shape into simpler forms to calculate the area.
area of a polygon is the amount of area inside the polygon. A square is a polygon and its area is the side length squared, ie times itself. Some polygons are harder to find the area of.
For a regular n-sided polygon with sides of length s, the formula is: A = (n*s^2) / (4*tan(180/n))
The lengths of sides of any polygon with more than 3 sides do not provide enough information to calculate the area. For example, a square can be skewed into a rhombus which can then be made so thin that its area is [asymptotically] equal to 0.
Finding the perimeter of a polygon is finding how far it is in total along all the edges of the polygon; whereas finding the area of a polygon is finding how much space the polygon covers. The perimeter of a polygon forms the boundary around the area of the polygon.