how to find the area of a irregular heptagon?
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Determining the Area of the Heptagon The formula for this is Area=(1/2)nsr. In this case, “n” is the number of sides, “s” is the length of the sides, and “r” is the apothem. Using the same example above, with the side as 7, the area formula would be worked as follows: Area=(1/2)(7)(7)(7.268).
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Area of a Regular Dodecagon For a regular dodecagon with sides s, the area formula is: A = 3 × (s)^2 × (2 + √3)
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The area of the rectangle is the width times height. The width is the height h of the cylinder, and the length is the distance around the end circles. This is the circumference of the circle and is 2πr. Thus the rectangle's area is 2πr × h.
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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']
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Lateral surface area of a conical frustum: S = π * (r1 + r2) * s = π * (r1 + r2) * √((r1 - r2)2 + h2)
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['Volume = πr2h.', 'Top Surface Area = πr2', 'Bottom Surface Area = πr2', 'Total Surface Area. = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)']
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Area of irregular shapes. To find the area of irregular shapes, the first thing to do is to divide the irregular shape into regular shapes that you can recognize such as triangles, rectangles, circles, squares and so forth... Then, find the area of these individual shapes and add them up!
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Summary: Find the missing lengths around your L shape and divide the shape into 2 rectangles. Find the area of both rectangle and add them up to give the total area of the compound shape.
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The area of any irregular quadrilateral can be calculated by dividing it into triangles. Example: Find the area of a quadrilateral ABCD whose sides are 9 m, 40 m, 28 m and 15 m respectively and the angle between the first two sides is a right angle. The area of the quadrilateral ABCD =(180+126)=306 square meters.
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The formula for the volume of a regular hexahedron of sides "a" is a^3, since a regular hexahedron is a cube. The surface area is, of course, a^2 --- 6 sides = 6a^2.
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Know the correct formula. 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.
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Triangular prism surface area If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area)
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There are times when you need to find the area of a shape that is not a regular shape. One method for finding the area of an irregular shape is to divide the shape into smaller shapes which you do have the formula for. Then you find the area of all of the smaller shapes and add all of your areas together.
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Area of composite shapes. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes.
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Add the six areas together. Add them all together to get the area of the whole shape: lw + lw + wh + wh + lh + lh. You can use this formula for any rectangular prism, and you will always get the surface area. To finish our example, just add up all the blue numbers above: 12 + 12 + 15 + 15 + 20 + 20 = 94 square inches.
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To find the surface area of an irregular hexagonal prism, we just add up the areas of the bases and faces of the prism. 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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The formula for the area of the base will depend on the shape of the base. An example is the right triangular prism. To find its area, you multiply the base of the triangle times the height and divide that by 2. Then, multiply the area times the length, or the depth, of the prism to find the volume.