Circle Segment Area Calculator
Calculate the area of a circle segment online using radius and central angle. Visualize the segment and copy the result easily.
Enter the radius of the circle segment.
Enter the central angle of the segment in degrees.
The formula for the area of a circle segment is given by:
Where:
- \( r \) is the radius of the circle.
- \( \\theta \) is the central angle in radians.
Understanding Circle Segments
A circle segment is a region of a circle which is "cut off" from the rest of the circle by a secant or a chord. Imagine drawing a straight line across a circle. The area between this line (chord) and the arc of the circle is the circle segment. To calculate the area of a circle segment, we use the formula: \( Area = \frac12 r^2 (\theta - \sin(\theta)) \), where \( r \) is the radius and \( \theta \) is the central angle in radians. This tool simplifies this calculation, allowing you to easily find the area by inputting the radius and central angle in degrees. It's useful in geometry, construction, and various engineering applications where circular sections are involved.