Area of a Circle Calculator
Area calculation is one of the most basic measurements done by Mathematics students. Being one of the most basic figures of Geometry, it is important for every student to learn how to find the Area of a Circle. The process is pretty simple if you know about what this figure is, its parts, and the formula to find the area.
But if you don’t know about it deeply, you can also use the Area of a Circle calculator. To find the area with the help of this Math Calculator, you only need to copy the given input values and insert them. The tool will automatically perform the calculations and give you the final answer. Here we will guide you on how to use this tool as well as explore the details of this specific Geometrical figure.
Table of Contents
Area of a Circle Definition
In Mathematics, the term Area is used to show the region covered by a specific figure or object. The Area of a Circle means the region that is covered by a circle when drawn on paper or in a real-life field. In simple words, the region that comes under the boundaries of the circle will be termed its area.
This calculation doesn’t only important for subjective purposes but also has great importance in professional study. It is common to find the area of a specific field designed in a circular shape. For this purpose, many students look for a handy tool like the area of a circle calculator that can perform this calculation quickly. If you want to know about it deeply for manual calculation, the upcoming sections will help you a lot.
Parts of a Circle
Like other Geometrical figures, a Circle also has specific parts that we are going to discuss here.
- Center: It is a fixed point that is equidistant from all points of the boundary of the circle.
- Radius: The distance of any point on the boundary of the circle from its center is called Radius.
- Circumference: The boundary of the circle is called Circumference in terms of Mathematics.
- Diameter: It is the distance between two points on the circumference when the joining line is passing from the center of the circle. A Diameter is the largest line (chord) of any circle.
- Arc: Any specific part of the complete circumference is called an Arc.
- Chord: A line connecting two points on the circumference of the circle without passing through the center is called a Chord.
These are some important parts of the circle that you should know to perform different calculations like Area calculation. Keep in mind you need to have basic knowledge about them even when you are using an Area of a circle calculator.
Formula of Circle Area
Depending on the above-mentioned parts, the Area of a Circle has multiple formulas. Here we have enlisted some important and most-used formulas for this calculation.
Area of a Circle (For Radius):
Area = 𝞹 x r2
Area of a Circle (For Diameter):
Area = 𝞹 x r2
Area of a Circle (For Circumference):
Area = C2/4𝞹
You can use any of these formulas according to the given data to find the area of the circle.
How to Calculate the Area of a Circle?
To find the area of a circle, you only have to put the values in the above-given formulas. Let us share a few examples with you for better understanding.
Example 1:
Find the Area of a circle if its radius is 4 cm.
Solution:
As we know,
Area = 𝞹 x r2
So,
= 3.14 x (4)2
= 50.27 cm2
Example 2:
Find the Area of a Circle if its Diameter is 16 cm.
Solution:
As we know,
Area = 𝞹 x (d/2)2
So,
Area = 3.14 x (16/2)2
= 3.14 (64)
= 201.06 cm2
How to use the Area of a Circle Calculator?
Calculator’s Bag has designed one of the finest tools to find the Area of a Circle. Follow these steps to find the Area of a circle with specific values.
- Insert the given measurement (Radius or Diameter)
- The tool will automatically calculate the Area and give the answer
FAQ | Area of a Circle
What are the 2 formulas for the area of a circle?
To find the Area of a circle, the 2 most used formulas are,
Area = 𝞹 x r2 (When the radius is given)
Area = 𝞹 x (d/2)2 (When the diameter is given)
How do you find an area with a diameter?
To find the Area of a circle if the diameter is given, we need to use the following formula. Area = 𝞹 x (d/2)2
How do you find an area with a radius, diameter, and circumference?
To find an Area using radius, diameter, and circumference, you need to use the following formulas respectively.
Area = 𝞹 x r2
Area = 𝞹 x (d/2)2
Area = C2/4𝞹
Is the formula for circumference and area the same?
No, circumference is the boundary of a circle while the area is the whole region that comes under a circle. Both quantities have different formulas and methods to calculate them.
How to find the part of the area of a circle?
It is not possible to find a specific part of the area of a circle. But you can find the measurements for different parts of the circle like radius, diameter, and chord using different approaches.
