what is the formula for finding the area of a regular polygon with perimeter p and apothem length a?
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The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area. As an example, let's use a hexagon (6 sides) with a side (s) length of 10.
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The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them .
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To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.
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More Formulas We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units.
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Find the perimeter (p) of a quadrant with straight sides of length (r) using the formula: p = 0.5πr + 2r. The only bit of information you need is the length of the straight side.
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The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers.
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The perimeter is 16 cm. In a plane, a simple closed polygon encloses a region that can be assigned a number called the area. The area of a region can be thought of as the number of square units, or parts of square units, that are required to cover the region without overlap.
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To find the surface area of a regular hexagonal prism, we can use the formula SA = 6s(a + h), where s = side length of the base, a = apothem length, and h = height of the prism.
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Double the width, and subtract that from the perimeter. Then divide that number by two, which gives you the length of the rectangle. Then, multiply the result by the width to get the area.
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To find the total area of an irregular hexagon, organize it into rectangles and right triangles and find the area of each geometric shape using these formulas: area of a rectangle: area = length * width.
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A trapezoid will have two sides parallel. Add the lengths of these parallel side, find its average and multiply this average length by the distance between these lines and you get the area.
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The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers. You measure area in square units of a fixed size.
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What is the formula for the perimeter of a rectangle? The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.
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['Plot the coordinates.', 'Connect the dots and identify the figure. This is a 5-sided polygon.', 'Determine lengths. It will help to label each of the five lengths: ... ', 'If a formula exists, use it to find the perimeter. Recall that the perimeter (P) is the sum of the lengths of each side.']
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['Input length and width of rectangle from user. ... ', 'Apply formula to calculate rectangle perimeter i.e. perimeter = 2 * (length + width) .', 'Apply formula to calculate rectangle area i.e. area = length * width .', 'Finally, print the value of perimeter and area .']
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In the next Java line, we used a mathematical formula to calculate the Perimeter of the Triangle using the formula P = a + b + c. s = (a + b + c)/2; Next, we are calculating the area of a triangle using Heron's Formula. Here Math.
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['Area of a Rectangle = Base × Height.', 'Area of a Square = Base × Height.', 'Area of a Square = s2', 'Area of Triangle = ½(Base × Height)', 'Area of Parallelogram = Base × Height.', 'Area of Trapezoid = ½(Base1 + Base2) × Height.', 'Area of Circle = π(radius)2 = πr2']