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Exercise 9.3 class 8 solution-Introduction
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Exercise 9.2 class 8 solution-what is polygon ?
A polygon is a two-dimensional geometric shape that is defined by a closed, flat (planar) figure with straight sides. In other words, it is a flat, closed shape made up of line segments. The sides of a polygon do not curve, and they do not intersect except at their endpoints. The endpoints of the line segments are called vertices (singular: vertex), and the line segments themselves are called edges. The area enclosed by the edges is the interior of the polygon.
Key characteristics of a polygon include:
- Closed Shape: A polygon is a closed shape, which means that all of its sides connect to form a continuous loop with no gaps or openings.
- Straight Sides: The sides of a polygon are made up of straight line segments.
- Vertices: The corners of a polygon where the sides meet are called vertices. A polygon has a finite number of vertices.
- No Self-Intersecting Edges: The edges of a polygon do not cross or intersect within the interior of the shape.
Polygons come in various forms, and they can have different numbers of sides. Some common types of polygons include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), heptagons (7 sides), octagons (8 sides), and so on. Regular polygons have equal side lengths and equal interior angles, while irregular polygons have sides and angles of varying lengths and measures.
Polygons are fundamental shapes in the study of plane geometry.
Exercise 9.3 class 8 solution – Area of polygon
The formula for finding the area of a polygon depends on the type of polygon. Here are some common types of polygons and their respective area formulas:
- If you know the base (b) and the height (h), you can use the formula: Area = 0.5 * base * height.
- If you know the lengths of all three sides (a, b, and c) and want to use Heron’s formula, you can use the following:
- Semi-perimeter (s) = (a + b + c) / 2
- Area = √[s * (s – a) * (s – b) * (s – c)]
- If you know the length (L) and width (W), you can use the formula: Area = Length * Width.
- If you know the length of one side (s), you can use the formula: Area = s^2.
- Regular Polygon (with apothem):
- For a regular polygon with ‘n’ sides, where ‘s’ is the side length and ‘a’ is the apothem (the distance from the center to the midpoint of a side), you can use the formula: Area = (n * s * a) / 2.
Exercise 9.3 class 8 solution- exercise preview
Our Exercise 9.3 Preview is designed to give you a taste of what’s in store. You’ll find a selection of math problems and questions that challenge your analytical and problem-solving skills. It’s a glimpse into the wonderful world of math exercises that will not only sharpen your mathematical prowess but also help you build the confidence you need to excel in your Class 8 studies.
Exercise 9.3 class 8 solution- solution pdf
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So, get ready to unlock the world of mathematics and explore Exercise 9.3 class 8 solutions that will help you not only in your exams but also in building a strong foundation for future mathematical adventures. Click, download, and excel in math! Your math journey is about to get a whole lot easier.9.3