The Rotation of a Point Calculator is a handy tool used in mathematics and computer graphics to determine the new coordinates of a point after it has been rotated by a certain angle around the origin. This calculator is particularly useful in fields such as geometry, physics, engineering, and computer science.
Formula of Rotation of a Point Calculator
The formula used in the Calculator is based on trigonometric functions. Let (x, y) represent the coordinates of the point to be rotated, and θ denote the angle of rotation in radians. The new coordinates (New_x, New_y) after rotation can be calculated using the following equations:
New_x = x * cos(θ) - y * sin(θ) New_y = x * sin(θ) + y * cos(θ)
General Terms Table
| Term | Definition |
|---|---|
| Coordinates | The pairs of numbers that define a point’s position in space |
| Rotation | The circular movement of an object around a fixed point |
Adding a table of general terms can provide helpful context for users who may not be familiar with certain terms related to the Calculator.
Example of Rotation of a Point Calculator
Let’s consider an example to understand how the Calculator works:
Suppose we have a point with coordinates (2, 3) and we want to rotate it by an angle of π/2 radians (90 degrees). Using the formula mentioned earlier, we can calculate the new coordinates as follows:
New_x = 2 * cos(π/2) - 3 * sin(π/2) = 2 * 0 - 3 * 1 = -3 New_y = 2 * sin(π/2) + 3 * cos(π/2) = 2 * 1 + 3 * 0 = 2
So, after rotating the point by π/2 radians, the new coordinates are (-3, 2).
Most Common FAQs
A: The Calculator is use to determine the new coordinates of a point after it has been rotate by a certain angle around the origin.
A: This calculator is commonly usedin mathematics, geometry, physics, engineering, and computer graphics.
A: No, the Rotation of a Point Calculator is specifically design for 2D rotation around the origin.
