Area of a Circle Calculator
Quickly calculate the area of a circle by entering its radius. Visualize the circle and understand the formula.
Enter Radius
Area Visualization and Formula
Radius (r) =
Formula
Calculated Area (A)
Understanding Area of a Circle
A circle is a fundamental shape in geometry, defined as the set of all points in a plane that are equidistant from a given point called the center. The distance from the center to any point on the circle is called the radius (r).
The area of a circle is the amount of space enclosed within its boundary. It's a measure of the 2-dimensional space the circle occupies. The formula to calculate the area (A) of a circle is given by:
Where:
- A is the area of the circle.
- π (pi) is a mathematical constant, approximately equal to 3.14159.
- r is the radius of the circle.
This calculator helps you easily find the area of a circle by simply inputting the radius. It's useful in various applications, from calculating the material needed for circular designs to solving mathematical problems.