Class 8 Maths - ODISHA

Area

In this chapter, Class 8 students under the Board of Secondary Education (BSE) Odisha will learn how to calculate the area of various two-dimensional geometric figures. Building on previous knowledge of rectangles and squares, this chapter introduces the calculation of areas for parallelograms, triangles, trapeziums, rhombuses, and general quadrilaterals. Students also explore the concept of the area of a circle and circular paths (annulus). Understanding these concepts is essential for solving real-life measurement problems and scoring well in the Odisha BSE board examinations, where geometry and mensuration carry significant weight.

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Key Concepts

Area of Parallelogram

The area of a parallelogram is the product of its base and the corresponding height (altitude).

Area of Triangle

The area of a triangle is half the product of its base and its height, which is derived directly from the parallelogram formula.

Area of Trapezium

The area of a trapezium is calculated as half the product of the sum of its parallel sides and the perpendicular distance between them.

Area of Rhombus

The area of a rhombus can be found using its diagonals, calculated as half the product of the lengths of its two diagonals.

Area of Circle

The area enclosed by a circle is calculated using the formula pi multiplied by the square of its radius.

Important Formulas

Area of Parallelogram = base * height
Area of Triangle = 1/2 * base * height
Area of Trapezium = 1/2 * (sum of parallel sides) * height
Area of Rhombus = 1/2 * (product of diagonals)
Area of Circle = pi * r^2
Circumference of Circle = 2 * pi * r

Board Exam Info

In the Odisha BSE Class 8 mathematics examination, the mensuration and area section typically carries around 8 to 12 marks. Questions usually include direct formula-based calculations, word problems involving composite shapes, and finding the area of paths running inside or outside rectangular fields.

Frequently Asked Questions

What is the difference between perimeter and area?

Perimeter is the total length of the outer boundary of a closed figure, while area is the total space enclosed inside that boundary.

Can a triangle and a parallelogram have the same area?

Yes, if a triangle and a parallelogram stand on the same base and between the same parallels, the area of the triangle is half the area of the parallelogram.

What value of pi should I use in calculations?

Unless specified otherwise in the question, you should use 22/7 or 3.14 for pi.

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