# Rectangle Inside A Circle

Posted : admin On 1/26/2022## The maximum number of smaller rectangles - or squares - within a larger rectangle (or square)

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.

- 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 itâ€™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.

## Related Topics

**Mathematics**- Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more

## Related Documents

### Rectangle Inside A Circle Calculator

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