What is the formula of finding the area of a pentagon?
The basic formula for the area of a regular pentagon is, Area of pentagon = 1/2 × p × a; where ‘p’ is the perimeter of the pentagon and ‘a’ is the apothem of a pentagon.
What is the formula for the area of a polygon?
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))}].
What is the formula for the area of an irregular pentagon?
To find the area of an irregular polygon you must first separate the shape into regular polygons, or plane shapes. You then use the regular polygon area formulas to find the area of each of those polygons. The last step is to add all those areas together to get the total area of the irregular polygon.
What is apothem of pentagon?
Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
What is the area of polygon class 8?
Area of polygon=102cm2+25.5cm2=127.5cm2 . Hence, the area of the polygon is 127.5 cm2. Note: The key concept for solving this problem is the segregation of the whole area into two parts. By separating the area into rectangle and triangle be easily evaluated as the area of the whole polygon.
How do you find the sides of a pentagon?
Using a Formula. Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
What is the area of N-sided polygon?
Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter. When an n-sided polygon is split up into n triangles, its area is equal to the sum of the areas of the triangles.
What is the area of a polygon with 4 sides?
Area of quadrilateral = (½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.