Área em Coord. Polares
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
polar
About this calculator
The Polar Area Calculator is an online tool that helps calculate the area of a curve defined in polar coordinates. This calculator uses the basic formula to calculate the area of a region bounded by a polar curve, which is ½·∫r²dθ (r constant).
Here you can input the r(θ) function and find the value of the area between two specific limits. The calculator automatically performs the necessary integration to find the area.
This tool is useful for students and professionals in mathematics who need to calculate areas in polar coordinates for advanced calculus problems.
Remember that this calculator is a supplementary tool and results should be verified in other sources to ensure accuracy.
Frequently asked questions
What is the formula used by the polar area calculator?
The calculator uses the formula ½·∫r²dθ (r constant) to calculate the area of a region bounded by a polar curve.
Can I calculate the area of any polar curve with this tool?
Yes, as long as you have the r(θ) function and specific limits for the integration.
How can I verify the accuracy of the results?
Verify the results in other sources, such as textbooks or graphing calculators, to ensure accuracy.
What are the cases in which the polar area calculator is useful?
This tool is useful for advanced calculus problems that involve areas in polar coordinates.