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VOOZH | about |
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VOOZH | about |
Area is the space occupied inside by the boundary of any figure. It is the total surface covered by the perimeter of the figure. It is measured in square units. It is generally calculated by multiplying the bases of the figure with its length. For example, the area of the room is its length multiplied by its breadth.
In this article we will be learning about, some figures and their areas like the square, rectangle, circle, triangle, and others.
Area formulas are essential tools used in mathematics to calculate the amount of space enclosed by different two-dimensional shapes. These formulas can be used to find the area of geometric figures such as squares, rectangles, circles, triangles, trapezoids, and ellipses. By using these formulas, we can accurately calculate the area of different shapes, enabling us to solve real-world problems and make important calculations.
Rectangle is a 2-Dimensional figure which is a quadrilateral, i.e. it has four sides its opposite sides are parallel and equal. All the angles in the rectangle are equal and their measure is 90 degrees. The diagonals of the rectangle are equal and they are perpendicular bisectors of each other.
The formula for calculating the area of a rectangle is,
- Area of Rectangle (A) = l×b square units
where
l is the length of the rectangle
b is the breadth of the rectangle
Square is a 2-Dimensional figure which is a quadrilateral, i.e. it has four sides its opposite sides are parallel and all four sides in a square are equal. All the angles in the square are equal and their measure is 90 degrees. The diagonals of the square are equal and they are perpendicular bisectors of each other.
The formula for calculating the area of a square is,
- Area of Square (A) = a2 square units
where a is the side of the square.
Triangle is the simplest polygon which is made by joining three straight lines. As the name suggests it is a polygon with three angles. The sum of the lengths of all sides of the triangle is the perimeter of the triangle and the space inside the perimeter of the triangle is the area of the triangle.
The formula for calculating the area of a triangle is,
- Area of Triangle (A) = 1/2×bh square units
where
a, b and c are the sides of the square.
h is the height of the square
Circle is a geometrical figure with no straight line. It is the locus of the point that is always at a constant distance from the fixed point. The fixed point is called the centre of the circle and the fixed distance is the radius of the circle.
The formula for calculating the area of a circle is,
- Area of Circle (A) = πr2 units2
- Perimeter/Circumference of Circle (C) = 2πr units
where
r is the radius of the circle
The list of formulas for the areas of the various figures are,
Figures | Formula | Variables |
|---|---|---|
Rectangle | Area = l×b | l is the length |
Square | Area = a2 | a is the side of the square |
Triangle | Area = 1/2×bh | b is the base |
Circle | Area = πr2 | r is the radius of the circle |
Trapezoid | Area = 1/2×(a+b)h | a is the first base |
Ellipse | Area = πab | a is the radius of major axis |
Solution:
Given,
Length of the Rectangle (l) = 5 cm
Breadth of the rectangle (b) = 2 cmArea of Rectangle(A) = l × b
A = 5cm × 2cm
= 10cm2
Solution:
Given,
Side of Square (a) = 4 m
Area of Square = a2
= (4)2 = 16 m2Thus, the area of the square park is 16 m2
Solution:
Given,
Height of Triangle (h) = 6 cm
Base of Triangle (b) = 8 cmArea of Triabgle(A) = 1/2(b × h)
A = 1/2(8 × 6)
= 48/2 = 24 cm2The area of the triangular plate is 24 cm2
Solution:
Given,
Radius of Circle (r) = 1.4 cm
Area of Circle(A) = πr2
A = π(1.4)2
= 22/7(1.4)(1.4) = (4.4)(1.4)
= 6.16 cm2The area of the circular disc is 6.16 cm2
