# What is Mensuration?

Suppose you would like to set a limit around your field or garden. To do so, you have to decide the duration of the limit. Or then even if the field or quantity of different geometrical shapes is to be sought. That’s something we’ll see in his book. Let us review in depth the subject of calculation and calculation formulas.

• Area of base of a cone = pie x r^2

• The curved surface area of a cone = pie x r x L

Where r = radius of base , l = slanting height of cone Total surface area of a cone = (pie x r x L) + pie x r^2

• Volume of right circular cone = 1/3 x pie x r^2 x h

Where r = radius of the base of the cone, h= height of the cone (perpendicular to base)

• The surface area of triangular prism = (P × height) + (2 × areas of a triangle)

Where p = perimeter of the base Surface area of polygonal prism = (Perimeter of base × height ) + (Area of polygonal base ×

2)

• The lateral surface area of prism = Perimeter of base × height
• Triangular prism volume= Area of the triangular base X-height

## Circle

A circle is a shape in which the distance to the middle is equal to all directions. Few examples in the real world include a chair, dining table, coin, etc. With a running hand, drawing it correctly is not easy. Many men, whether at school or in the office, enjoy the use of a compass (a geometric tool).

## Sector

A sector with a central angle of 180 ° is referred to as a half-disk and is bordered by diameter and a half-disk. Specific names are given in sectors with certain central angles, such as quadrants (90 °), sextants (60 °), and octants (45 °) which are one in each of the fourth, sixth, or eighth sections, respectively. The direction of a quadrant can be confusingly called a quadrant as well.

## Triangle

A triangle is a three-sided polygon with three vertices. It is one of the basic aspects of geometry. The A, B, and C vertices are represented in a triangle. If not aligned, a single triangle and at the same time a single plane is represented in Euclidian geometry at three points.

## Cylinder:

A cylindrical shape is three-dimensional and has two smooth circular bases and a curved face. In the middle, there is a curved disk. The bottom is the same as the top surface. It implies that the pillars are both parallel and congruent and there are no Vertices.

## Trapezium

A trapezium is a four-sided one where one side is parallel and another one is not parallel. It’s also called a trapezium this 4-sided closed flat shape. In other words, a triangle with the top chopped off is simply a trapezium. The backbone is considered the dual sides of the trapezium.

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Figure ABCD is a trapezium. Here AB||CD but yes AD and BC are not parallel.

We must draw a perpendicular from one side to another for measuring the height.

By using the sum of both points, and by multiplying it by its height, a trapezoid region can be estimated. Below is the formula for it.

Area of a Trapezium = h (a+b)2

## Cuboid:

A cuboid is a 3D structure of geometry, with both sides rectangles. This is a polyhedron with 6 rectangular faces, 8 vertices, and 12 boundaries. The rectangular faces are at the right angle. And the right angles are all points in the cuboid.

In a cuboid, the corners or vertices are bent to 90 degrees on each side. The opposite sides are almost the same. A book is a cuboid, for instance. There are 6 surfaces of the same dimensions on each opposite pair.