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9 Οκτ 2024 · To calculate the area of a regular polygon given the sides, apply the formula: area = n × a² × cot(π/n) / 4 . where: n – Number of sides of the polygon; a – Length of the side; and; cot – Cotangent function (cot(x) = 1/tan(x)).
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A quadrilateral is a polygon with four edges and four...
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3 Αυγ 2023 · To determine the surface area of regular polygons with n sides (where each side is represented as ‘s’), we use the formula given below: Area of Regular Polygon. Find the area of a regular polygon with perimeter of 44 cm and apothem length of 10 cm. Solution: As we know, Area (A) = ½ x p x a, here p = 44 cm and a = 10 cm. = ½ x 44 x 10 cm 2.
Area of polygon formula based on its types such as triangle, square, hexagon or n-sided polygon. Know the formulas for area of regular polygons with examples here at BYJU'S.
The formulae below give the area of a regular polygon. Use the one that matches what you are given to start. They assume you know how many sides the polygon has.
If the number of sides of a polygon is given, the area of the polygon can be calculated with the help of the formula, Area = [(L 2 n)/4 tan(180/n)]; where L is the length of its side and 'n' is the number of sides of the polygon.
This page describes how to derive the formula for the area of a regular polygon by breaking it down into a set of n isosceles triangles, where n is the number of sides. As shown below, a regular polygon can be broken down into a set of congruent isosceles triangles.
Are you ready? Here are the most important and useful area formulas for sixteen geometric shapes: Square area formula: A = a². Rectangle area formula: A = a × b. Triangle area formulas: A = b × h / 2 or. A = 0.5 × a × b × sin(γ) or. A = 0.25 × √( (a + b + c) × (-a + b + c) × (a - b + c) × (a + b - c) ) or.