Rectangle Inside A Circle

Posted : admin On 1/26/2022

The maximum number of smaller rectangles - or squares - within a larger rectangle (or square)

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

Finding the max area for a rectangle inside of a circle. Ask Question Asked 5 years, 11 months ago. Active 5 years, 11 months ago. Viewed 937 times 0 $begingroup$ I know how to find the max area, inside of a normal circle. This circle however is the inside of an aircraft and the floor must be there. If a rectangle is built inside the circle of radius 7cm then what is the largest area of rectangle possible? A circle of 7 cm radius has its diameter as 14 cm. A square formed of two isosceles right angled triangles with their hypotenuse as 14 will have an area of 14.14/2 = 98 sq cm.

RectangleHow many circles fit in a square
  • What we want to do is maximize the area of the largest rectangle that we can fit inside a circle and have all of its corners touching the circle. To do this problem it’s easiest to assume that the circle (and hence the rectangle) is centered at the origin of a standard (xy ) axis system.
  • 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.
  • the number of bricks in a wall
  • the number of rectangular cuts possible from a steel or plywood plate

Rectangle Inside Quarter Circle

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.

Rectangle Inside A Circle

Related Topics

  • Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more
Largest rectangle inside a circle

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