Circle Area Calculator is a tool used to calculate the area of a circle based on its radius or diameter. It is an essential mathematical tool for geometry and various practical applications, including engineering and design.
What is the purpose of the Circle Area Calculator?
The Circle Area Calculator is used to compute the area of a circle when the radius or diameter is known, making it a vital tool in geometry.
Circle Area Calculator formula
To calculate the area of a circle, the formula is:
Area = π * r²
Where:
π
is approximately 3.14159,r
is the radius of the circle.
Alternatively, if the diameter is known, the formula can also be written as:
- Area = π * (d/2)²
Where: d
is the diameter of the circle.
Circle Area Calculator examples
Example 1: Simple Example
- Let’s say the radius of the circle is 4 cm.
- We apply the formula:
Area = π * r²
Area = 3.14159 * 4²
Area = 3.14159 * 16
Area = 50.265 cm²
Result: In this case, the area of the circle is 50.265 cm².
Example 2: Another Example
- This time, the diameter of the circle is 10 cm.
- First, we need to find the radius:
r = d/2 = 10/2 = 5 cm
- Now, we apply the formula:
Area = π * r²
Area = 3.14159 * 5²
Area = 3.14159 * 25
Area = 78.539 cm²
Result: In this case, the area of the circle is 78.539 cm².
The Circle Area Calculator is a simple yet powerful tool that allows us to quickly find the area of a circle, whether we have the radius or diameter.