A polygon is a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments.
Find the area and perimeter of a polygon with the length 2 and the number of sides is 4.
Find the area.
Area | = ((side)² * N) / (4Tan(π / N)) |
= ((2)² * 4) / (4 * Tan(3.14 / 4)) | |
= (4 * 4) / 4 * Tan(0.785) | |
= 16 / 4 * 0.999 | |
= 16 / 3.996 | |
Area | = 4. |
Find the perimeter. Perimeter = (N * (side) = 4 * 2 = 8
Find the area of a polygon with the given radius 2 and the number of sides is 5.
Find the area.
Area | = ½ * R² * Sin(2π / N) |
= (0.5) * 2² * Sin(2 * 3.14 / 5) | |
= 0.5 * 4 * Sin(6.28 / 5) | |
= 2 * Sin(1.26) | |
= 2 * 0.95 | |
Area = | 1.9. |
Find the area of a polygon with the given radius 2 and the number of sides is 5 using Apothem.
Find the apothem.
Apothem | = R * Cos(π / N) |
= 2 * Cos(3.14 / 5) | |
= 2 * Cos(0.63) | |
= 2 * 0.81 | |
Apothem = | 1.62. |
Find the area.
Area | = A² * N * Tan(π / N) |
= 1.62² * 5 * Tan(3.14 / 5) | |
= 2.62 * 5 * Tan(0.63) | |
= 13.1 * 0.73 | |
Area | = 9.5. |
Find the area of a polygon with the length 2 and the number of sides is 4 using Apothem.
Find the apothem.
Apothem | = side / (2 * Tan(π / N)) |
= 2 / (2 * Tan(π / 4)) | |
= 2 / (2 * Tan(0.785)) | |
= 2 / (2 * 0.999) | |
= 2 / 1.998 | |
Apothem | = 1. |
Find the perimeter. Perimeter = (N * (side) = 4 * 2 = 8
Find the area.
Area | = (A * P) / 2 |
= (1 * 8) / 2 | |
= 8 / 2 | |
Area | = 4. |
The above example will clearly illustrates how to calculate the Area, Perimeter of a Polygon manually.
This tutorial will help you dynamically to find the Math area problems.