Smaller Rectangles within a Larger Rectangle
The calculator below can be used to estimate the maximum number of smaller rectangles - or squares - that may fit into a larger rectangle or square. The calculator can be used to calculate applicatons like
- the number of bricks in a wall
- the number of rectangular cuts possible from a steel or plywood plate
Input the large rectangle inside dimensions - and the outside dimensions of the smaller rectangles.
Default values are for 0.5 x 0.8 inch rectangle inside a 10 inch x 10 inch square. The calculator is generic and all units can be used - as long as the same units are used for all values.
Rectangular Pattern
Note! - the algorithm used for this tool is quite simple. Be aware that for some combinations of values more rectangles can be added by rearranging the layout.
Related Topics
• Mathematics
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents
Area of Intersecting Circles
Calculate area of intersecting circles
Area Units Converter
Convert between units of area.
Bricks - Quantity and Mortar Consumption
Estimate required quantities of bricks and mortar.
Centroids of Plane Areas
The controid of square, rectangle, circle, semi-circle and right-angled triangle.
Circle - the Chord Lengths when Divided in to Equal Segments
Calculate chord lengths when dividing the circumference of a circle into an equal number of segments.
Circle Equation
The equation for a circle
Circles - Circumferences and Areas
Circumferences and areas of circles with diameters in inches.
Circles Outside a Circle
Calculate the numbers of circles on the outside of an inner circle - like the geometry of rollers on a shaft.
Circles within a Rectangle - Calculator
Calculate the maximum number of circles within a rectangle - can be used to calculate the numbers of pipes or wires in a conduit or similar.
Equal Areas - Circles vs. Squares
Radius and side lengths of equal areas, circles and squares.
Fluid Flow - Equivalent Diameter
Convert rectangular and oval duct geometry to a equivalent circular diameter - online calculator with imperial and SI-units.
Geometric Shapes - Areas
Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..
Masonry Blocks - Dimensions
Concrete Masonry Unit Blocks (CMU) - dimensions.
Smaller Circles within a Large Circle - Calculator
Calculate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits into a larger pipe or conduit.
Squaring with Diagonal Measurements
A rectangle is square if the lengths of both diagonals are equal.