Introduction Mensuration is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters. Mensuration.

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Presentation transcript:

Introduction Mensuration is the branch of mathematics which deals with the study of Geometric shapes, their area, volume and related parameters. Mensuration is the mathematical name for calculating the areas, volumes, length of sides, and other geometric parts of standard geometric shapes such as circles, spheres, polygons, prisms, cylinders, cones, etc., through the use of mathematical equations or formulas.

PLANE FIGURES

POLYGON A polygon is a closed plane figure formed by line segments

Parts of a Polygon Side (edge) – one of the line segments that make up the polygon Adjacent sides – has a common endpoint Vertices-endpoints of each side Adjacent vertices – endpoints of a side Diagonal-line segment joinin 2 non- adjacent vertices Interior Angle – formed by 2 adjacent sides Exterior Angle- adjacent to and supplementary to an interior angle

Types of Polygons Equiangular polygons- all angles are congruent Equilateral polygons – all sides are equal Regular polygon-both equiangular and equilateral Irregular polygon- neither equiangular nor equilateral Convex polygon- all interior angles are less than 180 Concave polygon- has atleast 1 interior angle that measures more than 180

Exercise

Naming Polygons Number of Sides Name of polygon n n-gon 3 Triangle or trigon 4 Quadrilateral or tetragon 5 pentagon 6 hexagon 7 heptagon 8 Octagon 9 Nonagon 10 Decagon

Naming Polygons

Similar Polygons

Properties of a Regular Polygon - central angle a- Apothem

Properties of a Regular Polygon Perimeter: Interior Angle Sum of Interior Angles

Properties of a Regular Polygon Area Number of Diagonals