How to use the largest square in a circle calculator
Find the largest square that fits inside a circle and how much area is left over at the corners. Enter circle radius in the field above; the largest inscribed square side, square area, area lost to corners are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “largest square in circle”, “square inscribed in circle”, “inscribed square area”, “calculate largest square in a circle”, “find largest inscribed square side”.
Formula
Variables
- r — Circle radius (cm)
Worked example
With circle radius = 5 cm, the calculator gives largest inscribed square side ≈ 7.071068 cm; square area ≈ 50 cm²; area lost to corners ≈ 28.53982 cm².
Frequently asked questions
What is the largest square in a circle calculator used for?
Find the largest square that fits inside a circle and how much area is left over at the corners. It helps with questions such as “largest square in circle”, “square inscribed in circle”, “inscribed square area”.
What is the formula for the largest square in a circle calculation?
Largest inscribed square side (cm) = r × √(2). Square area (cm²) = 2 × r × r. Area lost to corners (cm²) = π × r × r-[Square area]. Here r is circle radius (cm).
What inputs do I need for the largest square in a circle calculator?
You need circle radius in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the largest square in a circle calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the largest square in a circle result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.