Rectangle Coordinates Calculator Online

The Rectangle Coordinates Calculator is a practical tool designed to compute the vertices of a rectangle based on its center, width, and height. This calculator proves invaluable in fields such as design, architecture, and geometry, where precise measurements are crucial.

Formula of Rectangle Coordinates Calculator

To determine the coordinates of a rectangle’s vertices, the calculator uses simple yet effective mathematical formulas. Given the center coordinates (Cx, Cy), width (W), and height (H) of the rectangle, the calculation proceeds as follows:

• Calculate half the width and half the height:
  • Half Width (Hw) = W / 2
  • Half Height (Hh) = H / 2
• Determine the coordinates of the four vertices:
  • Top-left corner (TL): (Cx – Hw, Cy + Hh)
  • Top-right corner (TR): (Cx + Hw, Cy + Hh)
  • Bottom-right corner (BR): (Cx + Hw, Cy – Hh)
  • Bottom-left corner (BL): (Cx – Hw, Cy – Hh)

Thus, the coordinates are:

• TL: (Cx – W / 2, Cy + H / 2)
• TR: (Cx + W / 2, Cy + H / 2)
• BR: (Cx + W / 2, Cy – H / 2)
• BL: (Cx – W / 2, Cy – H / 2)

These formulas ensure that anyone can quickly find the vertices of a rectangle from basic measurements.

Table of Common Calculations

Here’s a table of pre-calculated coordinates for rectangles of various common sizes:

Example of Rectangle Coordinates Calculator

Consider a rectangle centered at (10, 10) with a width of 8 and a height of 4. Using our calculator:

• Half Width (Hw) = 8 / 2 = 4
• Half Height (Hh) = 4 / 2 = 2

The vertices coordinates are:

• TL: (10 – 4, 10 + 2) = (6, 12)
• TR: (10 + 4, 10 + 2) = (14, 12)
• BR: (10 + 4, 10 – 2) = (14, 8)
• BL: (10 – 4, 10 – 2) = (6, 8)

This straightforward example illustrates how the calculator simplifies the process of finding rectangle coordinates.

Most Common FAQs