Rectangle Calculator

Find a rectangle’s missing measurements with MiniWebtool’s Rectangle Calculator. Two known values determine related dimensions, area, perimeter, and diagonal, with a diagram and calculation steps to explain their relationships.

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Help me understand MiniWebtool's Rectangle Calculator: https://miniwebtool.com/rectangle-calculator/. What can I use it for, what inputs or settings do I need, and how do I use it and understand the output? Walk me through one simple example. Use this page as your source and answer in English.

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Area is rows of unit squares; the diagonal is d = √(a² + b²)

Enter the length and width, or one of them with the area, perimeter or diagonal, to get every other measurement with the steps.

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About Rectangle Calculator

Welcome to the Rectangle Calculator, a comprehensive geometry tool that calculates all properties of a rectangle from any two known values. Whether you know the length and width, the area and one side, the perimeter and one side, or the diagonal and one side, this calculator will find all remaining measurements including area, perimeter, diagonal, inscribed circle radius, circumscribed circle radius, and aspect ratio.

At a Glance

Rectangle Calculator finds a rectangle's missing measurements from two known values. It returns area, perimeter, diagonal, inscribed and circumscribed circle radii and aspect ratio, with a diagram and the formulas used.

Rectangle Calculator: features at a glance
Feature	What you get	Good for
Four input modes	Start from length and width, area and one side, perimeter and one side, or diagonal and one side.	Solving for sides when only area or perimeter is known
Results	Shows length, width, area (A = a x b), perimeter (P = 2(a + b)) and diagonal (d = square root of a squared plus b squared).	Homework, layouts and room measurements
Circle radii	Gives the inscribed circle radius (half the shorter side) and the circumscribed circle radius (half the diagonal).	Fitting a circle inside or around a rectangle
Golden ratio check	Shows the aspect ratio of length to width and how close your rectangle is to the golden ratio of about 1.618.	Design and layout proportions
Diagram and steps	An interactive SVG diagram updates with your numbers, followed by step-by-step working for each formula.	Showing the method in a class
Optional unit	Type a unit of measurement to label the results.	Reports that need units on every value

What is a Rectangle?

A rectangle is a quadrilateral (four-sided polygon) with four right angles (90 degrees each). The word comes from the Latin rectus (right) and angulus (angle). Key properties of a rectangle include:

Opposite sides are equal and parallel to each other
All interior angles are 90 degrees
Diagonals are equal in length and bisect each other
A square is a special rectangle where all four sides are equal

Rectangle Formulas

Area of a Rectangle

The area represents the space enclosed within the rectangle:

Area Formula

$$A = a \times b$$

Where a is the length and b is the width.

Perimeter of a Rectangle

The perimeter is the total distance around the rectangle:

Perimeter Formula

$$P = 2(a + b)$$

Diagonal of a Rectangle

The diagonal connects opposite corners. Using the Pythagorean theorem:

Diagonal Formula

$$d = \sqrt{a^2 + b^2}$$

Inscribed Circle (Largest Circle Inside)

The largest circle that fits inside a rectangle touches the two longer sides:

Inscribed Circle Radius

$$r_{in} = \frac{b}{2}$$

Where b is the shorter side (width).

Circumscribed Circle (Smallest Circle Outside)

The smallest circle that contains the entire rectangle passes through all four corners:

Circumscribed Circle Radius

$$R = \frac{d}{2} = \frac{\sqrt{a^2 + b^2}}{2}$$

How to Use This Calculator

Select calculation mode: Choose what information you know (Length + Width, Area + Side, Perimeter + Side, or Diagonal + Side)
Enter your values: Input the known measurements in the appropriate fields
Optionally add a unit: Specify the unit of measurement for clearer results
Click Calculate: View all rectangle properties, visual diagram, and step-by-step calculations

Understanding the Results

Rectangle Calculator: Understanding the Results
Property	Description
Length (a)	The longer side of the rectangle
Width (b)	The shorter side of the rectangle
Area (A)	Space enclosed by the rectangle (in square units)
Perimeter (P)	Total distance around the rectangle
Diagonal (d)	Distance from one corner to the opposite corner
Inscribed Radius	Radius of the largest circle that fits inside
Circumradius	Radius of the smallest circle containing the rectangle
Aspect Ratio	Ratio of length to width (a:b)

The Golden Rectangle

A golden rectangle is a special rectangle whose sides are in the golden ratio:

Golden Ratio

$$\phi = \frac{1 + \sqrt{5}}{2} \approx 1.618$$

Golden rectangles are considered aesthetically pleasing and appear frequently in art, architecture, and nature. The Parthenon in Athens and Leonardo da Vinci's works are often claimed to feature golden rectangle proportions. This calculator tells you how close your rectangle is to the golden ratio.

Real-World Applications

Construction and Architecture: Calculating floor areas, wall dimensions, room sizes
Landscaping: Garden beds, lawn areas, patio dimensions
Screen Technology: TV and monitor sizes (measured by diagonal)
Packaging: Box dimensions, shipping calculations
Art and Design: Canvas sizes, framing, layout design
Flooring: Tile coverage, carpet calculations

Frequently Asked Questions

What is a rectangle?

A rectangle is a quadrilateral (four-sided polygon) with four right angles (90 degrees). Opposite sides of a rectangle are equal in length and parallel. The word "rectangle" comes from Latin "rectus" (right) and "angulus" (angle). A square is a special type of rectangle where all four sides are equal.

How do you calculate the area of a rectangle?

The area of a rectangle is calculated by multiplying its length by its width: Area = length x width. For example, a rectangle with length 8 units and width 5 units has an area of 8 x 5 = 40 square units. The area represents the amount of space inside the rectangle.

How do you calculate the diagonal of a rectangle?

The diagonal of a rectangle is calculated using the Pythagorean theorem: Diagonal = sqrt(length^2 + width^2). This works because the diagonal, length, and width form a right triangle. For example, a rectangle with length 8 and width 6 has a diagonal of sqrt(64+36) = sqrt(100) = 10 units.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance around its edges. It is calculated as: Perimeter = 2 x (length + width). For example, a rectangle with length 10 units and width 6 units has a perimeter of 2 x (10 + 6) = 32 units.

What is the golden rectangle?

A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1:1.618 (or more precisely, 1:(1+sqrt(5))/2). Golden rectangles are considered aesthetically pleasing and appear frequently in art, architecture, and nature. When you cut a square from a golden rectangle, the remaining rectangle is also a golden rectangle.

Can you fit a circle inside a rectangle?

Yes, the largest circle that fits inside a rectangle (inscribed circle) has a diameter equal to the shorter side of the rectangle. So the inscribed circle radius = width/2 (where width is the shorter side). This circle will touch the two longer sides but not reach the shorter sides unless the rectangle is a square.

Related Calculators

Additional Resources

Reference this content, page, or tool as:

"Rectangle Calculator" at https://MiniWebtool.com/rectangle-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Jan 30, 2026

Developer API available: Run this tool from your app, automation, or agent with one JSON HTTP request. View API docs

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