![]() The interior angles of a heptagon always add up to 900 °.Please try the work before you take a peek at the answers! Then, for each heptagon you select, determine if it is regular or irregular, and then whether it is concave or convex: For any heptagon, how many diagonals can you draw on it?.For any heptagon, how many vertices does it have?.For any heptagon, what is the sum of its internal angles?.Like other geometric shapes, such as the octagon, hexagon, and quadrilateral, heptagonal figures can be found in man-made objects and in nature. There are many examples of heptagon in real life, such as the two pictures below: In both formulas, a = s i d e l e n g t h. This formula is approxmiatly equal to A = 3.643 a 2 The area of a regular heptagon can be found using this formula: Concave HeptagonĪ concave heptagon has at least one interior angle greater than 180 °, and it has at least one diagonal that lies outside the polygon: Like other irregular polygons, irregular heptagons can be convex or concave like the heptagon image above. Here is an irregular heptagon, meaning its seven sides are not congruent and its seven interior angles are not identical: Since no internal angle is greater than 179 °, no diagonal can lie outside the polygon. A convex heptagon has no interior angles greater than 179 °: Convex HeptagonĪ regular heptagon is always a convex heptagon. A regular heptagon has seven congruent sides, seven vertices, and seven congruent interior angles:Īs indicated by the hash marks, the regular heptagon in the picture above has equal sides. For concave heptagons, at least one diagonal will be outside of the shape. For convex heptagons, all diagonals will be inside the shape. We know that all heptagons (or septagons) have 7 sides, so we can plug that into our formula: Or the sides can be congruent to form a regular heptagon The seven sides of a heptagon meet, but do not intersect, or cross over each other.Īs with other 2d shapes, a heptagon's sides can be different lengths, which creates an irregular heptagon. Heptagon sides must be straight and meet to form seven vertices that close in a space. All heptagons have 14 diagonals (line segments connecting vertices).All heptagons can be divided into five triangles.All heptagons have exterior angles that sum to 360 °.All heptagons have interior angles that sum to 900 °.Here are some additional properties of the heptagon shape: A heptagon shape can be regular, irregular, concave, or convex. 7:00 AM PDT | 10:00 AM EDT | 08:30 PM ISTĮverything you would like to know about 2023 MBA Admissions.The heptagon shape is a plane or two-dimensional shape comprised of seven straight sides, seven interior angles, and seven vertices. Sunday QUANT Quiz - Exponents, Powers, & Roots Questions ![]()
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