Rotacionar ponto

x′ = x cosθ − y sinθ.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

x′
0,0000

About this calculator

The Point Rotation Calculator is an online tool that allows you to rotate a point in a Cartesian plane around the origin. The rotation is performed using a mathematical formula that takes into account the coordinates of the point and the rotation angle. The formula used is x′ = x cosθ − y sinθ, where x and y are the coordinates of the point, θ is the rotation angle, and x′ is the new x coordinate after rotation.

The rotation of a point in a Cartesian plane is a geometric transformation that changes the position of the point in relation to the origin. This is done by multiplying the coordinates of the point by a rotation matrix, which depends on the rotation angle. The Point Rotation Calculator simplifies this process, allowing you to enter the coordinates of the point and the rotation angle and obtain the new position of the point.

The Point Rotation Calculator is useful in various fields, such as physics, engineering, and computer graphics. For example, in physics, the rotation of a point can be used to describe the motion of an object in a plane. In engineering, the rotation of a point can be used to calculate the position of a component in a structure. In computer graphics, the rotation of a point is used to create visual effects and animations.

When using the Point Rotation Calculator, it is important to be careful with the units of measurement used. Make sure that the coordinates of the point and the rotation angle are in the same unit of measurement. Additionally, remember that the rotation is performed around the origin, so make sure that the coordinates of the point are in relation to the origin.

Frequently asked questions

What is point rotation?

Point rotation is a geometric transformation that changes the position of the point in relation to the origin.

How does the Point Rotation Calculator work?

The calculator uses the formula x′ = x cosθ − y sinθ to rotate the point.

What are the units of measurement used?

The units of measurement must be the same for the coordinates of the point and the rotation angle.

In what areas is the Point Rotation Calculator useful?

The calculator is useful in physics, engineering, and computer graphics.

How to avoid errors when using the Point Rotation Calculator?

Make sure that the coordinates of the point and the rotation angle are in the same unit of measurement and in relation to the origin.

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