Most of us know the circles since our childhood and might have learned about them in elementary grades or in high school. But just a few of us acknowledge its definition. It can be defined as the path of all the points whose distance from a fixed central point remains fixed or constant.

There are numerous examples of circular objects we find in our day to day life, such as a round dinner plate, lid of a jar and an engagement ring, are some of them.

Before going deep into explaining tips to find the area of a circle, let's talk about the basic geometric terms related to this shape.

Center: First of all, students need to know about the center of a circle. It can be defined as a point inside the circle and is at the same distance from all of the points on its boundary. The fixed point in above definition is the center.

Radius: Next fundamental term related to this basic shape is the radius. Radius of a circle is always equal to that fixed distance from its center to its boundary. Radius is simply a piece of information which is very very useful to obtain diameter, circumference and the area of a circle. Most often the letter "r" is used to represent the radius.

Diameter: We can define the diameter of a circle as any straight line segment that passes through its center and having its endpoints on its boundaries. A diameter is the longest chord of the circle. Also the diameter is twice the radius, or in other words, two times the radius gives us the diameter.

Circumference: If we measure the length of whole of the circular boundary by putting a string over it (if possible), then it is called the circumference. Circumference is also known as the perimeter. Remember that the circumference is a length, for example, if we cut a ring and straighten it, then its length is the circumference of the ring.

The constant Pie or Pi: There is another very important property of circles known as pie (pi). We can define pie as the ratio of circumference to the diameter of the circle. It is a constant number whose value is calculated to be equal to 3.1416 (correct to four decimal places).

Area: The area of a circle represents the number of square units needed to cover it. Now that you have learned most of the basic terms about a circle, you can understand the tips to find its area very easily. Formula for area of a circle: There is a nice formula to find the area of a circle. This formula can use radius or diameter, depending upon what is given in the question. If the radius is given, then finding area of a circle is a piece of cake and we can calculate it by using the following formula;

Area = pi x radius squared or

Area = pi x radius x radius

In other words 3.14 (the fixed value of pi) times radius squared gives the area of any circle.

When the diameter is given, either divide it by 2 to get the radius and use the above formula or you can use the diameter itself to find the area as shown below;

Area = pi x diameter squared divide by 4

Yes, if you have used diameter in the formula, remember to divide by 4 once you have multiplied pi and diameter squared.

Finally, finding the area of a circle is very easy if students know the basic terminology of this prime two dimensional shape.

There are numerous examples of circular objects we find in our day to day life, such as a round dinner plate, lid of a jar and an engagement ring, are some of them.

Before going deep into explaining tips to find the area of a circle, let's talk about the basic geometric terms related to this shape.

Center: First of all, students need to know about the center of a circle. It can be defined as a point inside the circle and is at the same distance from all of the points on its boundary. The fixed point in above definition is the center.

Radius: Next fundamental term related to this basic shape is the radius. Radius of a circle is always equal to that fixed distance from its center to its boundary. Radius is simply a piece of information which is very very useful to obtain diameter, circumference and the area of a circle. Most often the letter "r" is used to represent the radius.

Diameter: We can define the diameter of a circle as any straight line segment that passes through its center and having its endpoints on its boundaries. A diameter is the longest chord of the circle. Also the diameter is twice the radius, or in other words, two times the radius gives us the diameter.

Circumference: If we measure the length of whole of the circular boundary by putting a string over it (if possible), then it is called the circumference. Circumference is also known as the perimeter. Remember that the circumference is a length, for example, if we cut a ring and straighten it, then its length is the circumference of the ring.

The constant Pie or Pi: There is another very important property of circles known as pie (pi). We can define pie as the ratio of circumference to the diameter of the circle. It is a constant number whose value is calculated to be equal to 3.1416 (correct to four decimal places).

Area: The area of a circle represents the number of square units needed to cover it. Now that you have learned most of the basic terms about a circle, you can understand the tips to find its area very easily. Formula for area of a circle: There is a nice formula to find the area of a circle. This formula can use radius or diameter, depending upon what is given in the question. If the radius is given, then finding area of a circle is a piece of cake and we can calculate it by using the following formula;

Area = pi x radius squared or

Area = pi x radius x radius

In other words 3.14 (the fixed value of pi) times radius squared gives the area of any circle.

When the diameter is given, either divide it by 2 to get the radius and use the above formula or you can use the diameter itself to find the area as shown below;

Area = pi x diameter squared divide by 4

Yes, if you have used diameter in the formula, remember to divide by 4 once you have multiplied pi and diameter squared.

Finally, finding the area of a circle is very easy if students know the basic terminology of this prime two dimensional shape.