How to find the area of a regular polygon with the apothegm and side length?
Let’s imagine a regular polygon with sides of length $l$. We will find the area of this regular polygon using the apothegm and the side length $l$. The area of a regular polygon is equal to the sum of its interior angles multiplied by its perimeter. This property of a regular polygon is called Euler’s polygon theorem. We will use this property to find the area of the regular polygon whose sides have length $l$.
How to find the
A regular polygon with n sides has an area of A = (n-1) pi r2, where r is the radius of the circumscribed circle. If the polygon has the same number of sides on each vertex, the sum of the areas of the sides is A. You can use the Pythagorean Theorem to find the value of the polygon's radius. To do so, subtract the sum of the squares of the diagonals from the sum of the squares of
How to calculate the area of a rectangle with the apothegm and side length?
The area of a rectangle is the product of its length and its width. Using variables for the length and the height of the rectangle, the area is A = l × h. The length of a rectangle is the sum of its sides, so the area of a rectangle with sides a and b is A = a × b. Using the two variables L and H for the length and the height of the rectangle, the area is A = L × H.
How to find the area of a regular polygon with the Pythagorean theorem and side length?
As you already know, the area of a regular polygon is equal to the circumference of a circle multiplied by its diameter. The diameter of a regular polygon is equal to the length of any side. The Pythagorean theorem will allow you to find the area of a regular polygon with the side length, knowing the length of any side and the number of sides.
How to find the area of a regular polygon
If you want to find the area of a regular polygon with the apothegm, you can use a simple form of the Pythagorean Theorem: A2 = (p1)2 + (p2)2 (or A = sqrt((px1)2 + (px2)2)) where p1 is the length of one of the sides of the polygon and p2 is the length of the other side. If you use the Pythagorean Theorem to