Geometry and Measurement
Find the space inside a circle from the radius or diameter you measured, with independent input and area units.
Circle area is the two-dimensional region enclosed by the circumference. Its formula is A = πr², where r is the center-to-edge radius. If you know diameter d, first divide by two: A = π(d/2)² = πd²/4. Squaring is essential; a circle with twice the radius covers four times the area.
For radius 5 m, A = π × (5 m)² = 25π m², or approximately 78.5398 m². The same circle has diameter 10 m. In square centimeters, the answer is approximately 785,398 cm² because 1 m² equals 10,000 cm². The calculator uses Math.PI and rounds only the displayed result.
The radius is not the distance around the rim. To measure diameter, cross through the center from one edge to the opposite edge; a shorter chord will understate area. For a ring or circular opening, measure the inner diameter when you need usable opening area and the outer diameter when you need the full footprint.
Lengths convert through meters: 1 inch is exactly 0.0254 m and 1 foot is exactly 0.3048 m. Area factors are the squares of those conversions, so 1 ft² is exactly 0.09290304 m². The result assumes a perfect planar circle and does not subtract holes, seams, or waste. Physical measurements can be less precise than the displayed decimals.
| Item | Meaning | Check |
|---|---|---|
| Known dimension | Radius or center-crossing diameter | The mode switch doubles or halves the entered number. |
| Input length unit | Unit attached to the known dimension | Changing the unit preserves physical size. |
| Result area unit | Square unit used in the answer | Area conversion squares the length factor. |
| Result | Area enclosed by an ideal circle | Blank, zero, negative, or nonfinite input clears the answer. |
Estimate an ideal round floor footprint before allowing for offcuts.
Compare the flat top area of two tables from their diameters.
Check an inner circular opening separately from an outer ring footprint.
An oval, irregular outline, or annulus needs a different formula. Material estimates need a separate waste allowance.
No. Area measures the region inside and uses square units; circumference measures the edge and uses length units.
Yes. Select Diameter; the tool divides it by two before applying A = πr².
Because area has two dimensions. A factor applied to each length is multiplied by itself for area.
No. For an annulus, subtract the area of the inner circle from that of the outer circle.
Last reviewed: October 26, 2026. Calculations run in your browser. Confirm dimensions and units for consequential work.
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