The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:
A basic unit of measurement is a quantifiable magnitude that makes the relationship between the item and the measurement clear to all.
People did not have any calculating instruments to quantify standard measurement units in the past. To solve this challenge, they devised a variety of creative methods to measure using the instruments at hand. They used the foot as a length indicator; for example, 1 foot is about 0.3 meters or 30 centimetres. A league was another duration measurement used by our forefathers. When we walked for an hour, one league equalled the distance travelled by a human. However, this device is no longer in operation.
To address the issue of disparate measuring systems (much like disparate languages), the International System of Units was created, and most industrialised and developing countries have embraced it. About the fact that this has been developed and implemented in major fields such as science and technology and government activities, most people still use their conventional or customary units.
In mathematics, the two most significant properties of two-dimensional figures are area and perimeter. The perimeter of a form is described as the distance between its boundary and the area filled by it.
The region bounded by an object’s space is known as its area. The area of a shape is the space occupied by a figure or other geometric object. A shapes’ area is determined by its proportions and properties. There are various areas with different shapes.
The path or boundary around a shape is known as its perimeter. In a nutshell, it’s the measure of every shape as extended linearly. Based on their lengths, the perimeters of various shapes may be the same length.
A circle is a closed, plane geometric form. It is a locus of a point rotating around a fixed point at a fixed distance away from the point in technical terms. It can also be seen as a closed curve with an outer line that is equidistant from the middle. The circumference of the circle is the defined distance from the origin. Many representations of the circle can be seen in everyday life, such as wheels, pizzas, a circular ground, and so on.
Consider a circle with a radius of r.
Then, A = πr^2 square units is the area of a circle.
The circumference of a circle = 2πr,
where r is the radius of the circle;
π is the mathematical constant with a value of 3.14;
Pi (π) is a mathematical constant; it is the ratio of circumference and diameter of any circle.
C = π D
where C is the circumference of the circle;
D is the diameter of the circle.
The perimeter of a circle is the same as the circumference of a circle. Therefore, the formulas for the perimeter of a circle is
P = 2πR.
P = π D.
The semi-circle is formed when we divide the circle into two equal parts.
P = πr +2r.
The area of the semi-circle is the region occupied by a semi-circle in a 2D plane.
A = πr2/2.
In this chapter, we learned about the basics of mensuration. We did a revision of the perimeter and idea of the circumference of a circle. We learned about the measurement units as well.