Have a look at this article to leaner how to find the area of a circle
What if we want to paint our circular table or we need to know how much paint will require to paint a table. For that you need to find out its area. This is why, it is an important to know how to find the area of a circle in practical.
Hence, it is always in a syllabus of almost every student from VI to graduation or post graduations in Mathematics. There is a very simple formula to find area of circle, but they don’t know the actual meaning of the terms present in this formula.
Hence, it is hard to find the area of a circle. But, don’t panic, we will make you so familiar, about this formula that you will not face any problem in future to find the area of a circle.
The formula for the area of a circle is a product of Pi with a square of the radius of a circle. In mathematical term:
Area of a circle (A)= πr2
Here the symbol π is known as Pi. It is a fractional number 22/7 or in decimal it is represented by 3.14 up to 2 digits after decimal. It is a ratio of the circumference and diameter of a circle.
Whereas, A is the area of the circle and r is the radius of a circle. Radius is a distance between a centre of a circle to its arc or boundary. It is half of the diameter of a circle. It is same in all the side from the centre of a circle.
How to find the area of a circle?
Step-1 Measure the Radius of a Circle
The first step in seeking of the area of a circle is to find the radius of a circle. You can measure it by scale for small circles and inch-tap and ropes for a big circle.
It is a distance between the centre of circle to its boundary. You can also find it by dividing a known diameter of circle by 2. It is hard to find a radius of a circle directly, if we don’t know its actual centre. In this case, we can find out its unknown diameter by protector.
Step 2- Find Square of the Given Radius
After getting the actual figure of a radius, we have to find its square. The square of any number is the product of that number with itself. For example. The square of 2 is 4, 3 is 9 and so on. To find these squares we multiply 2 by itself and 3 by itself, like 2*2= 4 and 3*3=9.
Same procedure we have to do with the radius of a circle. So, to find r2, we have to multiple r with itself. So, r2 = r*r.
Step 3- Multiple the Radius Square with Pi
The last step in how to find the area of a circle is to multiply the radius square with the Pi. This will provide your result and now, you can submit it for correction.
Step-4 The Area of a Circle by Diameter
You can also find the area of a circle by its diameter. As I told you early that the radius of a circle is half of the diameter. So, we can replace r in the formula of the area of a circle by d (diameter). Now, your formula will be:
Area of a circle (A)= π(d/2)2
In this step, we have to find the diameter of a circle and convert it into radius by dividing it by 2 and find its square and multiply it by Pi.
Step 5- How to Find the Area of Circle by Circumference
Circumference is the parameter of a circle or the length of the boundary of a circle. To find the area of a circle by circumference (C) by using a formula: –
Whereas, to find the circumference of a circle, we have to find the product of Pi with diameter or twice of radius. In mathematical terms, C= 2πr
In the first step, we need to calculate C and then find its square and divide it by 4 and you will get your area to show your teacher.
Step 6- How to Find the Area of a Circle by Are of Sector
There is another formula to find area of a circle by finding area of a sector. The formula of the area of a sector is (A)= θπr2 /360, here θ is an angle between two radii of a sector. First, we will calculate the area between minor sector and then of major sector and after addition of both major and minor sectors we will get the area of a circle.
These are some methods to find out the area of a circle. And in my opinion, the first method is the most simple and easy. While calculating the area of a circle, we need to take the value of Pi with cautions. In every question, it will be written that which value of Pi, you have to take or you have to leave the answer in terms of Pi.
I hope this article will make you more familiar to know how to find the area of a circle. And from now, you will not face any difficulty in How to find the area of a circle. For more quarries related to other problems of your life, then you can stay tuned with us on howpins.com