The area of a circle is the measurement of the space it occupies, whereas the circumference of a circle is the measure of the boundary or path that surrounds it. The perimeter of a circle is another name for the circumference of the circle.
A circle is a closed, rounded shape with all of its perimeters points equally spaced from the center. Imagine a person running through a park or garden that is round. The circumference of that specific circle forms the park’s perimeter.
What is Circumference of A Circle?
The path or boundary that encircles a circle is measured by its circumference or perimeter, whereas the area of a circle is the measurement of the space it occupies. The result of the constant term and the circle’s diameter or radius is its perimeter. It is the 1-dimensional (1-D) linear estimation of the boundary across any 2-D circular surface.
Terms Used in Circumference of A Circle
- Diameter – The diameter, which touches the two ends of the circle’s perimeter, is the measurement taken across a circle by its center. The circumference and diameter have the following relationship:
C= πD, π= C/D
- Centre– The center is a location on the perimeter that is a set distance from all other points.
- Radius: The length from the circle’s center to any other point on the circumference of the circle is the radius of a circle.
- Area of A Circle: The area of a circle is the area that the circle encompasses or the space that it occupies.
Formula: Area of circle= πr2,
where r is the radius of the circle.
= πr2 or πd2/4
in square units.
Where,
π= 22/7 or 3.14
and d is the diameter of the circle.
Circumference Formula of A Circle
Circumference (or) perimeter of a circle (in terms of radius) = 2πr
here, R is the radius of the circle, π is equal to 3.14 or 22/7
Circumference (in terms of diameter) = πD
Here, D is the diameter of the circle.
The units of the circumference/perimeter, which is a linear value, are the same as the units of length. A circle’s range is its circumference if we draw a straight line from the center of the circle. It is typically expressed in units like cm or unit m.
How to Find Circumference of A Circle?
Although a circle’s circumference is also its length, unlike other polygons like squares, triangles, and rectangles, a circle’s circumference cannot be calculated using a scale. This is because of the circle’s curved shape. With the methods listed below, we can calculate the circle’s circumference.
Method 1: By labeling the thread’s points, we can follow the circle’s path. A typical ruler can be used to measure the length of the thread later. Think about the situation when a round dish is presented to us and the circumference is asked.
First, we can take a thread and wrap it completely around the circular plate following the method described above.
Step 2: Next, mark the thread’s beginning and ending points.
In the third and last step, use the scale for the circumference to determine the thread’s length (from its starting point to its ending position).
Method 2: In geometry, calculating the circumference of a circle provides an accurate method of knowing it. As a result, we apply the formula that involves the circle’s radius or diameter and the pi () value to calculate the circumference of a circle.
If the radius and circumference are known, the following steps must be taken to calculate them:
We can calculate the circumference by following these methods if instance- the radius of any random circle is 28 cm:
Step 1: See for the data given to us, here we are given the radius.
Step 2: Apply the formula:
C= 2πr
(Here C= circumference, whereas r= radius and π= 22/7)
Step 3: We can get the desired answer by substituting the values in the formula.
Step 4:
C= 2πr = 2*22/7*28= 176cm
Similarly to this, if the diameter is provided, we can proceed as shown below.
If the circumference of any random circle is provided and its diameter is 7 cm, then:
Step 1: Check for the data, here we have the diameter.
Step 2: Apply the formula:
C= πD
(Here C= circumference, whereas, D= radius and π= 22/7 or 3.14)
Step 3: We can get the desired answer by substituting the values in the formula.
Step 4:
C = πD = 22/7 *7= 22cm
On A Wrap
In this article, we stated what is the circumference of a circle, the terms used in the circumference of a circle, the circumference formula of a circle, in addition with how to find the circumference of a circle. So, if you want to master this topic and score excellent grades in your exams, you must go through this amazing post.
Also read: What are The Definition, Formula, and Volume of A Cylinder?
