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3 Αυγ 2023 · For determining the area of a polygon given on a coordinate plane, we will use the following formula: Area (A) = | (x 1 y 2 – y 1 x 2 ) + (x 2 y 3 – y 2 x 3 )…. + (x n y 1 – y n x 1 )/2 | To learn the steps follow the link given below:
Area of a Regular Polygon. A general formula for the area of a regular polygon with n-side of length s is: \[ A = {ns^2 \over 4 \tan ({180^{\circ} \over n})} \] This can also be written: \[ A = {n \over 4 } s^2 \cot ({180 \over n})^{\circ} \] For more support finding the area of regaular polygons, try our calculator: Area of a Regular Polygon ...
Worksheet to calculate area of polygons. The following video gives formulas and examples to find the area of squares, rectangles, triangles, parallelograms, and trapezoids. It also explains the difference between base and height.
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))}].
Area of a regular polygon. The number of square units it takes to completely fill a regular polygon. Four different ways to calculate the area are given, with a formula for each. Try this Drag the orange dots on each vertex to resize the polygon. Alter the number of sides. The area will be continuously calculated. Options. Hide. |< >|. RESET. Area.
How the Calculator Works. Choose the number of sides of the regular polygon you need. Choose the length and width of the regular polygon: you can choose a whole number, decimal or fraction. You can type a fraction by typing the numerator then '/' then the denominator.
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. A = a² × sin(β) × sin(γ) / (2 × sin(β + γ))
