It is often wondered why most of the things we encounter in real life are circular or spherical in shape. But the presence of most celestial objects being circular made mankind to devote more time in the study of this particular geometric shape. Having many practical applications, it becomes important to know how to measure its area using the area of circle formula.
A circle is a geometrical shape in which all the points of it are at equal distance from a common point, which is also called the center point of the circle. A circle has no edges and no vertices. It is not created using a straight line. So in many aspects, a circle is a very special geometrical figure.
As we study the circle, the way to define a circle is to know the length of its radius. The length of the radius is the only differentiating factor between different circles. It is the length of the radius which determines whether the circle is big or small. Do note that in the case of circles, all circles have exactly the same shape as they have no interior angles like as in triangles or squares. To calculate the perimeter of a circle, one can take a thread, put it on the periphery and then measure the length of the thread using a scale.
With the use of mathematical formulas, we can calculate the perimeter of a circle. The perimeter of a circle is two, multiplied by a constant called pi multiplied by radius. The mathematical constant pi has the value of 3.14 and is a very commonly used mathematical constant. The fraction pi is equal to 22/7, and when converted to decimal notation, it is an irrational number. So, the perimeter of a circle of radius 10 would be two multiplied by 3.14, multiplied by 10 is equal to 62.8.
By knowing the perimeter of a circle, we can do many important things in day-to-day life.
For example, to know the length of the fencing required for a circular field. We need to calculate its perimeter, and to know what amount of paint would be required to draw the boundary of a circular field we would be required to know the length of the perimeter.
The area of a circle depicts what is the amount of surface that the geometrical shape covers. Using the formula, the area of the circle is calculated by multiplying the mathematical constant pi into the square of the radius. Do note that the area of a circle is represented in square units. Whereas the perimeter of the circle is represented in single units.
By knowing the area of a circle, we can understand how much surface the circle covers. If we have a circular field in which we have to lay tiles, then by knowing the area of the field, divided by the area of the tiles, we can get the number of tiles required.
Since most, if not all celestial objects are circular the constant pi is very important in almost any scientific analysis. The idea that for any circle, the ratio of its area to its perimeter is always equal to the radius divided by 2 and other such universal properties of circular shapes makes them an intriguing subject. One can easily calculate the value of pi by measuring the circumference of the circle and dividing it by the diameter of the circle. If one can draw a line connecting any two points in the circle and also passing through the center of the circle, it is the diameter of the circle, and its length is twice the length of the radius. More such mathematical concepts can be found on the Cuemath website. Also, students can find math worksheets here to help them learn the strategies of problem-solving, thereby gaining an in-depth knowledge of the subject.