Measurements & Conversions

Radius to Area Calculator

Convert a measured radius into circular area for material take-off on curved and round work.

  • Answers as you type
  • Every formula cited
  • Calculated in your browser
SettingsSettings for this calculationUS
Market
Imperial · sales tax
The radius measured from the centre of the circle.

If you measured across the full width instead, that is the diameter — halve it before entering. Mistaking one for the other overstates the area by a factor of four.

Circular area

314.2 sq ft

High confidence

Area = π × r², computed exactly. Curved work generates more offcut than rectangular work — allow a wider waste margin than you would on a straight run.

Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Area of a circle A = pi x r^2

Inputs used

Radius (ft)
10
Final result314.16 sq ft

Confidence note: Area = π × r², computed exactly. Curved work generates more offcut than rectangular work — allow a wider waste margin than you would on a straight run.

Estimated cost — your price

This site holds no price list for this material — local prices vary too much to publish honestly. Enter your supplier's price and the result is costed with it.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-08-26 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations1
  1. Area of a circle A = pi x r^2
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Going the other way — from a measured radius to an area — is the take-off step for anything round: a circular slab, a tank base, a bandstand deck, a turfed island. The arithmetic is trivial, and the error that costs money is confusing radius with diameter. Because area goes with the square of the radius, entering a diameter by mistake reports four times the true area, which on a concrete pour is an expensive lorry to send away. Measure from the centre, or measure across and halve it. Worth noting too that circular work wastes more material than rectangular work of the same area: sheet goods, pavers and tiles all have to be cut to a curve, and offcuts from the perimeter are rarely reusable, so a waste allowance appropriate to a straight run will leave you short.

Now that you have the number

These guides cover the work this quantity is for.

How to calculate radius to area in 2 steps

  1. Radius (ft)The radius measured from the centre of the circle.
  2. Circular areaThe tool computes the circular area from those figures and shows the formula, its sources, and a confidence rating alongside it.

Radius to Area at common values

Page defaults, not your figures above.

Radius (ft)Circular area (sq ft)
13.14
212.6
578.5
10314
201,257
507,854
10031,416

Frequently asked questions

I measured across the circle. Can I use that?
Not directly — that is the diameter. Halve it first. Because area scales with the square of the radius, entering a diameter reports four times the true area, which on a concrete order is an expensive mistake.
How much extra material should I allow for a circle?
More than a rectangle of the same area takes, because every perimeter piece is cut to a curve and the offcuts are rarely reusable. Allowances that work on straight runs tend to leave you short on round work.
What about a ring or an annulus?
Calculate the outer circle and the inner circle separately and subtract. This calculator handles a full disc; a path around a circular bed is the difference between two of them.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.