How to locate the region of the Polygon

Area of Regular Polygon – Area of a Regular Polygon: Learn how to calculate the areas of regular polygons.

The circle has been divided into five congruent angles by the radii of the polygon. To calculate the measure of one of those central angles, we will recall that a circle contains 360 degrees of angle measure. Since the circle has been divided into five congruent parts, we will divide 360 degrees by five. The result is 72 degrees, as shown in within the next diagram.


Video advice: Area of Polygons


Area of a polygon with given n ordered vertices

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Javascript – Output : 8We can compute the area of a polygon using the Shoelace formula. Area= | 1/2 ( (x1y2 + x2y3 + … + xn-1yn + xny1) –(x2y1 + x3y2 + … + xnyn-1 + x1yn) ) |The above formula is derived by following the cross product of the vertices to get the Area of triangles formed in the polygon. Below is an implementation of the above formula. CPP#includeusing namespace std;double polygonArea(double X(), double Y(), int n){ double area = 0. 0; int j = n – 1; for (int i = 0; i< n; i++) { area += (X(j) + X(i)) * (Y(j) - Y(i)); j = i; } return abs(area / 2. 0);}int main(){ double X() = {0, 2, 4}; double Y() = {1, 3, 7}; int n = sizeof(X)/sizeof(X(0)); cout << polygonArea(X, Y, n);}Javaimport java. io. *;class GFG { public static double polygonArea(double X(), double Y(), int n) { double area = 0. 0; int j = n - 1; for (int i = 0; i < n; i++) { area += (X(j) + X(i)) * (Y(j) - Y(i)); j = i; } return Math.


Video advice: Find the Area of Regular Polygons

Learn how to find the area of a regular polygon using the formula A=1/2ap in this free math video tutorial by Mario’s Math Tutoring. We go through two examples.


Video advice: How to Calculate the Area of Polygons

Learn how to find the area of polygons.


[FAQ]

What is the formula of area of 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))}).

How do you find the area of an irregular polygon?

0:072:11Area Of An Irregular Polygon - YouTubeYouTubeStart of suggested clipEnd of suggested clipTo find the area figures such as ease simply divide them into shapes that are easy to find the areaMoreTo find the area figures such as ease simply divide them into shapes that are easy to find the area for by drawing a line at this location. Notice we have divided our shape into two rectangles.

How do you find area of a pentagon?

What is the Area of Pentagon Formula? 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.

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 area of a polygon 6th grade?

5:066:55How to Calculate the Area of Polygons - YouTubeYouTube.

Erwin van den Burg

Stress and anxiety researcher at CHUV2014–present
Ph.D. from Radboud University NijmegenGraduated 2002
Lives in Lausanne, Switzerland2013–present

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