Table of Contents
- 1 What is the area of a regular pentagon with an Apothem length 8cm?
- 2 How do you find area of a pentagon?
- 3 How do you find the side length of a regular pentagon?
- 4 How do I find the area of a regular polygon?
- 5 How do you calculate the area of an irregular pentagon?
- 6 What is the surface area of a pentagon?
What is the area of a regular pentagon with an Apothem length 8cm?
Area of pentagon = 5 × 77.42 = 387.1 cm^2. , Ph.
How do you find area of a pentagon?
The basic formula that is used to find the area of a pentagon is, Area = 5/2 × s × a; where ‘s’ is the length of the side of the pentagon and ‘a’ is the apothem of a pentagon.
How do you find the area of a regular polygon with side lengths?
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 apothem of a regular pentagon?
We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
How do you find the side length of a regular 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.
How do I find the area of a regular polygon?
Area of a regular polygon formulas area = n * a * ri / 2 , having ri – incircle radius (it’s also an apothem – a line segment from the center to the midpoint of one of its sides) area = perimeter * ri / 2 , given ri and polygon perimeter.
How do you find the center of a regular pentagon?
To find the centre of a regular pentagon/hexagon : Bisect a side by placing the compass point on each of the points and drawing an arc with radius just over half the side length.
How do you find the area of a regular polygon with an apothem and side length?
You also learned the formula for finding the area of any regular polygon if you know the length of one side and the apothem: A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothem.
How do you calculate the area of an irregular pentagon?
To calculate the area of a regular pentagon, the perimeter of the polygon is multiplied by the apothem and the result is divided in half. The mathematical formula for the calculation is area = (apothem x perimeter)/2.
What is the surface area of a pentagon?
For a regular pentagon, the surface area is equal to 5/2 * s * a, where s is a side length and a is the apothem, or the height of the internal triangles. To find the area of an irregular pentagon, break it up into trapezoids and triangles.
How do you calculate a pentagon?
Start with the side length and apothem. This method works for regular pentagons,with five equal sides.
What is the meaning of the pentagon shape?
shape with five sides. In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting.