The Mensuration Methods of measuring of geometric magnitudes, lengths, areas, and volumes using mensuration in its meaning is to measure, its normally used where geometrical figures are thoughtful, and where one has to determine various physical quantities such as area, volume, length measuring these quantities is called mensuration it also used where measure quantities like peed.
Now we will discuss some basic ideas of Mensuration Methods. On the basis of these ideas we will learn trick and tips of shortcut mensuration methods. If you think that how to solve mensuration methods questions using mensuration methods shortcut tricks, then further studies will help you to do so.
1. Square
In a geometry, Square is a regular quadrilateral and This means that it has four equal sides and four equal angles Each angle is holds 90degree angles, or right angles of each facing side is equal to the opposite side.
Formula:
(a) Area of Square = 4L^{2} or (side)^{2} = 1/2 = (Diagonal)^{2}.
The area can also be calculated using the diagonal d according to
A = D^{2}/2
(b) Perimeter of a Square = 4L or 4 x Side.
The circumference R, the area of a square is
A = 2R^{2}
(c) A room has four wall and its Area of 4 wall is 2 x (Length + Breadth) x Height.
2. Circle
A circle is a simple form and it is a set of series of all points in a plane that is given and its distance make same from the center.
Formula:
(a) Area of a circle
Area of a circle is = πr^{2}
Where π = 22 / 7, or π = 3.14285………
Or Area of Circle is = 22 / 7 x r x r.
(b) Circumference of a Circle
Circumference of a Circle is = 2πr
OR, 2 x 22 / 7 x r (r = radius).
(c) SemiCircle:
Area of semicircle = πr^{2} / 2 = 1 / 2πr^{2}
Circumference = 2πr / 2 + 2r = r(π + 2)
Diameter : = 2 √(area /π)
Area = π (diameter / 2)^{2}
Perimeter = π (diameter).
Diameter = (Perimeter / π).
3. Rectangle
A rectangle is four side of with right angle. Each side of Rectangle is equal and parallel and each angles is a 90° is called Rectangle, and its properties are given as, Equal angle means that all of its angles are equal ( 360° / 4 = 90° ). It can also be defined as a parallelogram which has containing a right angle.
Formula:
(a) Area of Rectangle
L x B
Here, L = Length and B = Breadth of a Rectangle.
(b) Perimeter of Rectangle
2 x (L + B)
A slice from a circular pizza of diameter 14 inches is cut in a such a way that each slice of pizza has a central angle of 45°. What is the area of each slice of Pizza(in square inches)?
A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What will be the minimum number of such tiles is?
Circumference of a circle A is 22/7 times perimeter of a square. Area of the square is 784 cm². What is the area of another circle B whose diameter is half the radius of the circle A(in cm²)?
66 videos65 docs

1. What is mensuration? 
2. How is the area of a rectangle calculated? 
3. What is the formula for calculating the volume of a cylinder? 
4. How do you find the circumference of a circle? 
5. How is the surface area of a sphere calculated? 
66 videos65 docs


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