{"id":13363,"date":"2026-11-05T00:52:55","date_gmt":"2026-11-05T00:52:55","guid":{"rendered":"https:\/\/aiper.com\/blogs\/?page_id=13363"},"modified":"2026-11-12T04:42:02","modified_gmt":"2026-11-12T04:42:02","slug":"lawn-area-calculator","status":"publish","type":"page","link":"https:\/\/aiper.com\/blogs\/lawn-area-calculator\/","title":{"rendered":"Lawn Area Calculator"},"content":{"rendered":"\n<style>#lawn-tool{max-width:960px;margin:24px auto;color:#243746}#lawn-tool *{box-sizing:border-box}#lawn-tool .fields{display:grid;grid-template-columns:repeat(auto-fit,minmax(min(100%,240px),1fr));gap:18px}#lawn-tool label{display:block;font-weight:600}#lawn-tool input,#lawn-tool textarea{display:block;width:100%;padding:12px;border:1px solid #9aacb5;border-radius:8px;margin-top:6px;font:inherit}#lawn-tool button{padding:12px 20px;margin:18px 10px 10px 0;border:2px solid #1ecad3;border-radius:8px;background:#1ecad3;color:#1a202c;cursor:pointer;font:inherit}#lawn-tool button[type=reset],#lawn-tool #copy-area{background:white}#lawn-tool button:focus-visible,#lawn-tool input:focus-visible,#lawn-tool textarea:focus-visible{outline:3px solid #9486f7;outline-offset:3px;color:#1a202c}#lawn-tool button:active{color:#1a202c}#lawn-tool .result{background:#edf7f8;border-left:4px solid #1ecad3;padding:18px;margin:16px 0;overflow-wrap:anywhere}#lawn-tool svg{width:100%;height:300px;border:1px solid #b8cbd2}#lawn-tool a{color:#08778b}<\/style><div id=\"lawn-tool\" lang=\"en\"><p>Measure irregular lawn polygons from surveyed coordinates, combine separate areas and subtract exclusions.<\/p><p>Draw measured vertices on a 20 \u00d7 20 metre grid. Add each boundary, then calculate. Use Clear to remove the example first.<\/p><svg id=\"draw-grid\" viewBox=\"0 0 20 20\" role=\"img\" aria-label=\"Measured drawing grid: 20 \u00d7 20 metres\"><defs><pattern id=\"metre-grid\" width=\"1\" height=\"1\" patternUnits=\"userSpaceOnUse\"><path d=\"M 1 0 L 0 0 0 1\" fill=\"none\" stroke=\"#c5ddd9\" stroke-width=\".03\"\/><\/pattern><\/defs><rect width=\"20\" height=\"20\" fill=\"url(#metre-grid)\"\/><\/svg><button type=\"button\" id=\"add-lawn\">Add lawn boundary<\/button><button type=\"button\" id=\"add-hole\">Add exclusion<\/button><button type=\"button\" id=\"undo-point\">Undo vertex<\/button><button type=\"button\" id=\"clear-boundaries\">Clear all boundaries<\/button><form data-mode=\"area\"><div class=\"fields\"><label>Measured boundary coordinates (metres)<textarea name=\"coordinates\" rows=\"12\" required>0,0\n10,0\n10,10\n0,10\n\n&#8211;\n1,1\n3,1\n3,3\n1,3<\/textarea><small>Use a decimal point and separate x and y with a comma (for example: 1.5,2.5).<\/small><\/label><\/div><button type=\"submit\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/form><div class=\"result\" role=\"status\" aria-live=\"polite\">Enter your measurements and calculate.<\/div><svg id=\"area-diagram\" role=\"img\" aria-label=\"Diagram of entered measured boundaries\"><\/svg><button id=\"copy-area\" type=\"button\" disabled>Copy area in m\u00b2<\/button><h2>How this calculator works<\/h2><p>Enter boundary coordinates in metres, in clockwise or counterclockwise order. Each row is x,y; blank lines separate polygons. Prefix an exclusion polygon with a minus sign on its own line. Use a common measured coordinate system. Polygon area uses the shoelace formula. Enter non-overlapping inclusion areas and subtract each exclusion once; exclusions must lie inside the lawn and must not overlap. This tool rejects self-crossing individual boundaries but does not calculate unions or validate containment between separate polygons. The diagram displays your measurements; it is not a satellite map. Use the copy button to reuse the net square-metre result in other calculators.<\/p><h2>Units and inputs<\/h2><p>Use measured inputs and replace the demonstration values. 1 ft = 0.3048 m; 1 sq ft = 0.09290304 m\u00b2; 1 inch = 25.4 mm; 1 US gallon = 3.785411784 litres. All entered prices must use the same currency. Zero prices omit the optional budget.<\/p><h2>Related lawn guides<\/h2><ul><li><a href=\"https:\/\/aiper.com\/blogs\/how-to-topdress-a-lawn\/\">How to Topdress a Lawn: The Pro-Level Soil Health Move<\/a><\/li><li><a href=\"https:\/\/aiper.com\/blogs\/how-to-overseed-a-lawn\/\">How to Overseed a Lawn Properly<\/a><\/li><\/ul><h2>More lawn tools<\/h2><p><a href=\"https:\/\/aiper.com\/blogs\/sod-calculator\/\">sod calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/lawn-watering-calculator\/\">lawn watering &amp; sprinkler runtime calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/sprinkler-zone-calculator\/\">sprinkler zone calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/lawn-mowing-cost-calculator\/\">lawn mowing cost calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/mowing-time-calculator\/\">mowing time calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/lawn-lime-calculator\/\">lawn lime calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/drip-irrigation-calculator\/\">drip irrigation calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/grass-seed-calculator\/\">grass seed calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/lawn-fertilizer-calculator\/\">lawn fertilizer calculator<\/a> \u00b7 <a href=\"https:\/\/aiper.com\/blogs\/tools\/\">Toolkit<\/a><\/p><\/div><script>\/* SI units internally; no external services or weather assumptions. *\/\nfunction calculateLawn(mode,v){\n const n=k=>{if(v[k]===undefined||String(v[k]).trim()==='')throw Error(\"Enter all required measurements.\");let x=Number(v[k]);if(!Number.isFinite(x)||x<0)throw Error(\"Use finite, non-negative measurements.\");return x;};\n const p=k=>{let x=n(k);if(x<=0)throw Error(\"This measurement must be greater than zero.\");return x;};\n const percent=k=>{let x=n(k);if(x>=100)throw Error(\"Use a percentage below 100.\");return x\/100;};\n let o;\n if(mode==='sod'){\n  let a=p('area'),w=n('waste');if(w>100)throw Error(\"Waste must be between 0 and 100%.\");\n  let q=a*(1+w\/100);o={required:q,pieces:Math.ceil(q\/p('piece')-1e-10),pallets:Math.ceil(q\/p('pallet')-1e-10)};\n  if(n('price')>0)o.budget=q*n('price');\n }else if(mode==='watering'){\n  let depth=Math.max(0,n('target')-n('rain')),minutes=depth\/p('rate')*60,water=p('area')*depth;\n  o={depth,minutes,litres:water};if(n('price')>0)o.budget=water\/1000*n('price');\n }else if(mode==='zone'){\n  let heads=p('heads');if(!Number.isInteger(heads))throw Error(\"Head count must be a whole number.\");\n  let capacity=Math.floor(p('flow')*(1-percent('reserve'))\/p('nozzle'));\n  if(p('pressure')<p('required'))throw Error(\"Working pressure is below the nozzle requirement.\");\n  if(capacity<1)throw Error(\"Available flow cannot support one nozzle with the selected reserve.\");\n  o={capacity,zones:Math.ceil(heads\/capacity)};\n }else if(mode==='area'){\n  let polygons=JSON.parse(v.polygons);if(!Array.isArray(polygons)||!polygons.length)throw Error(\"Enter measured polygons.\");\n  let total=0;\n  for(let poly of polygons){\n   let pts=poly.points;if(!Array.isArray(pts)||pts.length<3)throw Error(\"Each polygon needs at least three vertices.\");\n   for(let pt of pts)if(!Array.isArray(pt)||pt.length!==2||!pt.every(x=>typeof x==='number'&&Number.isFinite(x)))throw Error(\"Each vertex needs two finite coordinates.\");\n   \/\/ Reject crossings, touching edges, repeated vertices and degenerate edges.\n   let cross=(a,b,c)=>(b[0]-a[0])*(c[1]-a[1])-(b[1]-a[1])*(c[0]-a[0]);\n   let on=(a,b,c)=>Math.abs(cross(a,b,c))<1e-9&&c[0]>=Math.min(a[0],b[0])-1e-9&&c[0]<=Math.max(a[0],b[0])+1e-9&&c[1]>=Math.min(a[1],b[1])-1e-9&&c[1]<=Math.max(a[1],b[1])+1e-9;\n   for(let i=0;i<pts.length;i++)for(let j=i+1;j<pts.length;j++){\n    if(pts[i][0]===pts[j][0]&&pts[i][1]===pts[j][1])throw Error(\"Do not repeat vertices.\");\n    if(j===i+1||i===0&&j===pts.length-1)continue;\n    let a=pts[i],b=pts[(i+1)%pts.length],c=pts[j],d=pts[(j+1)%pts.length];\n    if(cross(a,b,c)*cross(a,b,d)<0&&cross(c,d,a)*cross(c,d,b)<0||on(a,b,c)||on(a,b,d)||on(c,d,a)||on(c,d,b))throw Error(\"Polygon edges must not cross or touch.\");\n   }\n   let a=Math.abs(pts.reduce((s,p,i)=>s+p[0]*pts[(i+1)%pts.length][1]-pts[(i+1)%pts.length][0]*p[1],0))\/2;\n   if(a<=0)throw Error(\"Polygon area must be positive.\");\n   if(poly.exclude!==undefined&&typeof poly.exclude!=='boolean')throw Error(\"Exclusion must be true or false.\");\n   total+=poly.exclude?-a:a;\n  }\n  if(total<=0)throw Error(\"Net area must be positive.\");o={area:total,sqft:total\/0.09290304};\n }else if(mode==='mowing-cost'){\n  let area=p('area'),frequency=p('frequency'),weeks=p('weeks');\n  if(frequency>7||weeks>52.1775)throw Error(\"Use at most 7 visits per week and 52.1775 weeks per year.\");\n  let obstacle=n('obstacle');if(obstacle>100)throw Error(\"The surcharge must be between 0 and 100%.\");\n  let visit=Math.max(n('minimum'),n('base')+area\/100*n('rate')+n('edging'))*(1+obstacle\/100),visits=Math.ceil(frequency*weeks-1e-10);\n  o={visits};if(visit>0)Object.assign(o,{visit,month:visit*frequency*52.1775\/12,season:visit*visits});\n }else if(mode==='mowing-time'){\n  let area=p('area'),width=p('width')\/100,speed=p('speed')*1000,overlap=percent('overlap'),eff=p('efficiency')\/100;\n  if(eff>1)throw Error(\"Efficiency must be no more than 100%.\");\n  let productivity=width*(1-overlap)*speed*eff,minutes=area\/productivity*60;\n  o={effective:width*(1-overlap)*100,productivity,minutes,total:minutes+n('extra')};\n }else if(mode==='lime'){\n  let area=p('area'),rate=n('lab'),reference=p('reference'),product=p('product');\n  if(reference>200||product>200)throw Error(\"Neutralizing values must be percentages no greater than 200.\");\n  let adjusted=rate*reference\/product,total=area\/100*adjusted;\n  o={adjusted,total,bags:Math.ceil(total\/p('bag')-1e-10)};\n  let cap=n('cap');if(cap>0){let passes=Math.max(1,Math.ceil(adjusted\/cap-1e-10));o.passes=total>0?passes:0;o.perpass=total>0?total\/passes:0;}\n }else if(mode==='drip'){\n  let length=p('length'),spacing=p('spacing'),lines=p('lines');\n  if(!Number.isInteger(lines))throw Error(\"Line count must be a whole number.\");\n  \/\/ Assumes the first emitter is one spacing from the inlet, not at x=0.\n  let emitters=Math.floor(length\/spacing+1e-10);if(emitters<1)throw Error(\"Each line must contain at least one emitter.\");\n  let flow=emitters*p('emitter'),capacity=p('supply')*60*(1-percent('reserve')),linesPerZone=Math.floor(capacity\/flow);\n  if(linesPerZone<1)throw Error(\"Available flow cannot support one complete drip line.\");\n  let minutes=n('litres')\/p('emitter')*60,zones=Math.ceil(lines\/linesPerZone);\n  o={emitters,totalemitters:emitters*lines,flow:flow*lines\/60,linesperzone:linesPerZone,zones,minutes,totalminutes:minutes*zones,water:emitters*lines*n('litres')};\n }else throw Error(\"Unknown calculator.\");\n if(Object.values(o).some(x=>!Number.isFinite(x)))throw Error(\"Measurements exceed the supported range.\");\n return o;\n}\nif(typeof module!=='undefined')module.exports=calculateLawn;\n\n(()=>{const root=document.getElementById('lawn-tool'),form=root.querySelector('form'),result=root.querySelector('.result'),labels={\"area\": \"Net measured area (m\u00b2)\", \"sqft\": \"Net measured area (sq ft)\"};let last=null;\nfunction polygons(text){return text.trim().split(\/\\n\\s*\\n\/).map(block=>{let rows=block.trim().split(\/\\n\/),exclude=\/^[-\u2013\u2014]$\/.test(rows[0].trim());if(exclude)rows.shift();return {exclude,points:rows.map(row=>{let parts=row.trim().split(\/\\s*,\\s*\/);if(parts.length!==2||parts.some(p=>!p.trim()))throw Error(\"Use one x,y coordinate per line.\");return parts.map(Number);})};});}\nform.addEventListener('submit',e=>{e.preventDefault();last=null;try{let v=Object.fromEntries(new FormData(form));let polys;if(form.dataset.mode==='area'){polys=polygons(v.coordinates);v.polygons=JSON.stringify(polys);}let out=calculateLawn(form.dataset.mode,v);result.replaceChildren();for(let [key,value]of Object.entries(out)){let p=document.createElement('p');p.textContent=labels[key]+': '+value.toLocaleString(\"en\",{maximumFractionDigits:3});result.append(p);}if(polys){let svg=root.querySelector('#area-diagram'),all=polys.flatMap(p=>p.points),xs=all.map(p=>p[0]),ys=all.map(p=>p[1]),minx=Math.min(...xs),miny=Math.min(...ys),w=Math.max(...xs)-minx,h=Math.max(...ys)-miny;svg.replaceChildren();svg.setAttribute('viewBox',[minx-1,miny-1,w+2,h+2].join(' '));for(let poly of polys){let shape=document.createElementNS('http:\/\/www.w3.org\/2000\/svg','polygon');shape.setAttribute('points',poly.points.map(p=>p.join(',')).join(' '));shape.setAttribute('fill',poly.exclude?'#fff':'#b4e8c1');shape.setAttribute('stroke','#147e91');shape.setAttribute('stroke-width',Math.max(w,h)\/200);svg.append(shape);}last=out.area;root.querySelector('#copy-area').disabled=false;}}\ncatch(err){result.textContent=err.message;if(root.querySelector('#copy-area'))root.querySelector('#copy-area').disabled=true;}});\nform.addEventListener('reset',()=>{last=null;result.textContent=\"Enter your measurements and calculate.\";let svg=root.querySelector('#area-diagram');if(svg)svg.replaceChildren();let b=root.querySelector('#copy-area');if(b)b.disabled=true;});\nlet copy=root.querySelector('#copy-area');if(copy)copy.addEventListener('click',async()=>{if(last===null)return;try{await navigator.clipboard.writeText(String(last));result.append(document.createTextNode(\" Area copied in m\u00b2.\"));}catch(e){result.append(document.createTextNode(\" Copy area manually: \"+last+' m\u00b2.'));}});\n})();\n(()=>{let r=document.getElementById('lawn-tool');r.querySelector('form').addEventListener('input',()=>{r.querySelector('.result').textContent=\"Enter your measurements and calculate.\";let b=r.querySelector('#copy-area');if(b)b.disabled=true;let s=r.querySelector('#area-diagram');if(s)s.replaceChildren();});})();(()=>{let root=document.getElementById('lawn-tool'),svg=root.querySelector('#draw-grid');if(!svg)return;let pts=[],text=root.querySelector('[name=coordinates]'),out=root.querySelector('.result');function draw(){svg.querySelectorAll('.vertex,.edge').forEach(x=>x.remove());let line=document.createElementNS(svg.namespaceURI,'polyline');line.setAttribute('class','edge');line.setAttribute('points',pts.map(p=>p.join(',')).join(' '));line.setAttribute('stroke','#176d78');line.setAttribute('stroke-width','.12');line.setAttribute('fill','none');svg.append(line);for(let p of pts){let x=document.createElementNS(svg.namespaceURI,'circle');x.setAttribute('class','vertex');x.setAttribute('cx',p[0]);x.setAttribute('cy',p[1]);x.setAttribute('r','.2');x.setAttribute('fill','#176d78');svg.append(x);}}\nsvg.addEventListener('click',e=>{let p=svg.createSVGPoint();p.x=e.clientX;p.y=e.clientY;p=p.matrixTransform(svg.getScreenCTM().inverse());if(p.x<0||p.x>20||p.y<0||p.y>20)return;pts.push([Math.round(p.x*100)\/100,Math.round(p.y*100)\/100]);draw();});\nfunction append(exclude){if(pts.length<3){out.textContent=[\"Draw measured vertices on a 20 \u00d7 20 metre grid. Add each boundary, then calculate. Use Clear to remove the example first.\", \"Add lawn boundary\", \"Add exclusion\", \"Undo vertex\", \"Clear all boundaries\", \"At least three vertices are required.\", \"Measured drawing grid: 20 \u00d7 20 metres\"][5];return;}let block=(exclude?'-\\n':'')+pts.map(p=>p.join(',')).join('\\n');text.value=(text.value.trim()?text.value.trim()+'\\n\\n':'')+block;pts=[];draw();root.querySelector('form').requestSubmit();}\nroot.querySelector('#add-lawn').onclick=()=>append(false);root.querySelector('#add-hole').onclick=()=>append(true);root.querySelector('#undo-point').onclick=()=>{pts.pop();draw();};root.querySelector('#clear-boundaries').onclick=()=>{pts=[];text.value='';draw();root.querySelector('#area-diagram').replaceChildren();root.querySelector('#copy-area').disabled=true;out.textContent=\"Enter your measurements and calculate.\";};root.querySelector('form').addEventListener('reset',()=>{pts=[];draw();});})();<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Measure irregular lawn polygons from surveyed coordinates, combine separate areas and subtract exclusions. Draw measured vertices on a 20 \u00d7 20 metre grid. Add each boundary, then calculate. Use Clear to remove the example first. Add lawn boundaryAdd exclusionUndo vertexClear all boundaries Measured boundary coordinates (metres)0,0 10,0 10,10 0,10 &#8211; 1,1 3,1 3,3 1,3Use a [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"aiper_reading_time":2,"aiper_last_reviewed":"","aiper_reviewer":0,"aiper_related_ids":[],"aiper_layout":"","footnotes":""},"class_list":["post-13363","page","type-page","status-publish","hentry"],"lang":"en","translations":{"en":13363,"es":13366,"fr":13365,"de":13364},"_links":{"self":[{"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/pages\/13363","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/comments?post=13363"}],"version-history":[{"count":3,"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/pages\/13363\/revisions"}],"predecessor-version":[{"id":13481,"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/pages\/13363\/revisions\/13481"}],"wp:attachment":[{"href":"https:\/\/aiper.com\/blogs\/wp-json\/wp\/v2\/media?parent=13363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}