Area

Developed By : Harneet Singh Mathematics Teacher S.S.D.G.S.S. School ,Machhiwara

AREA Area is the measure of the surface covered by any object. OR It may be defined as the measure of surface enclosed within the boundary of surface. It is measured in cm2 or m2 .

AREA OF VARIOUS TWO DIMENSIONAL FIGURES • TRIANGLE • QUADRILATERAL

• CIRCLE

TRIANGLE Triangle is a three sided closed figure, having three vertices and three angles. Area of a Triangle

h

b

1 = base x height 2 = 1 bxh 2

h

b

AREA OF QUADRILATERAL Quadrilateral is a four sided closed figure, having four vertices and four angles. Various Types of Quadrilaterals are :•Square •Rectangle •Parallelogram •Rhombus •Trapezium

SQUARE A square is a quadrilateral with all sides equal and each angle = 90o Area of Square = side x side = a2 The shaded portion represent the area of the square. a

a

RECTANGLE A Rectangle is a quadrilateral with pair of opposite sides equal and each angle = 90o Area of Rectangle = length x breadth = lxb The shaded portion represent the area of the rectangle. b

l

PARALLELOGRAM Parallelogram is defined as the quadrilateral with both pair of opposite sides parallel Area of Parallelogram (IIgm) = base x height = bxh The shaded portion represent the area of the Parallelogram. h

b

RHOMBUS Rhombus is a parallelogram with all sides equal. Area of Rhombus = side x height = axh The shaded portion represent the area of the Rhombus. Hence, the formulae of area of Rhombus is same as that of a Parallelogram

h

a

TRAPEZIUM Trapezium is a quadrilateral with one pair of opposite sides parallel. Area of trapezium = 1 x (sum of parallel sides) x (distance between them) 2 = 1 x ( b1 + b2 ) x h 2 b 2

h

b1

CIRCLE Circle is the locus of points equidistant from a fixed point. Area of a circle = 1 π r2 2

where : π = 3.14 r = radius of the circle

.

r