Security Camera Coverage Area Calculator

ANA›Life Services Authority›National Calculator Authority›Security Camera Coverage Area Calculator

.calc-container { max-width: 640px; margin: 2rem 0; padding: 1.5rem; background: #fff; border: 1px solid #ddd; border-radius: 8px; box-shadow: 0 1px 3px rgba(0,0,0,0.06); font-family: system-ui, -apple-system, sans-serif; } .calc-container h3 { font-family: Georgia, serif; font-size: 1.15rem; color: #1a1a1a; margin-bottom: 1rem; padding-bottom: 0.5rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-row { display: flex; align-items: center; gap: 0.75rem; margin-bottom: 0.75rem; flex-wrap: wrap; } .calc-row label { min-width: 160px; font-size: 0.9rem; color: #333; font-weight: 500; } .calc-row input[type="number"], .calc-row select { flex: 1; min-width: 120px; max-width: 200px; padding: 0.5rem 0.6rem; border: 1px solid #ccc; border-radius: 4px; font-size: 0.9rem; font-family: system-ui, sans-serif; color: #1a1a1a; background: #fafaf8; } .calc-row input:focus, .calc-row select:focus { outline: none; border-color: var(--ac, #3d5a80); box-shadow: 0 0 0 2px rgba(26,74,138,0.12); } .calc-row .unit { font-size: 0.82rem; color: #888; min-width: 30px; } .calc-btn { display: inline-block; margin-top: 0.5rem; padding: 0.55rem 1.5rem; background: var(--ac, #3d5a80); color: #fff; border: none; border-radius: 4px; font-size: 0.9rem; font-weight: 600; cursor: pointer; font-family: system-ui, sans-serif; } .calc-btn:hover { opacity: 0.9; } .calc-result { margin-top: 1.25rem; padding: 1rem 1.25rem; background: #f0f6fc; border-left: 3px solid var(--ac, #3d5a80); border-radius: 0 6px 6px 0; display: none; } .calc-result.visible { display: block; } .calc-result-label { font-size: 0.78rem; text-transform: uppercase; letter-spacing: 0.06em; color: #666; margin-bottom: 0.25rem; } .calc-result-value { font-size: 1.6rem; font-weight: 700; color: var(--ac, #3d5a80); } .calc-result-detail { font-size: 0.85rem; color: #555; margin-top: 0.5rem; line-height: 1.5; } .calc-note { margin-top: 1rem; font-size: 0.8rem; color: #888; font-style: italic; } .calc-grid { display: grid; grid-template-columns: 1fr 1fr; gap: 0.75rem; margin-top: 0.75rem; } .calc-grid-item { padding: 0.6rem 0.8rem; background: #f8f9fa; border-radius: 4px; border: 1px solid #eee; } .calc-grid-item .label { font-size: 0.75rem; color: #888; text-transform: uppercase; letter-spacing: 0.04em; } .calc-grid-item .value { font-size: 1.1rem; font-weight: 600; color: #1a1a1a; } @media (max-width: 720px) { .calc-row { flex-direction: column; align-items: flex-start; gap: 0.3rem; } .calc-row label { min-width: auto; } .calc-row input[type="number"], .calc-row select { max-width: 100%; width: 100%; } .calc-grid { grid-template-columns: 1fr; } } .calc-chart { margin: 1rem 0; text-align: center; } .calc-chart svg { max-width: 100%; height: auto; } .calc-chart-legend { display: flex; flex-wrap: wrap; justify-content: center; gap: 0.6rem 1.2rem; margin-top: 0.6rem; font-size: 0.8rem; color: #555; } .calc-chart-legend span { display: inline-flex; align-items: center; gap: 0.3rem; } .calc-chart-legend i { display: inline-block; width: 10px; height: 10px; border-radius: 2px; font-style: normal; } .calc-related { max-width: 640px; margin: 2rem 0 1rem; padding: 1.25rem 1.5rem; background: #f8f9fa; border: 1px solid #e8e8e8; border-radius: 8px; } .calc-related h3 { font-family: Georgia, serif; font-size: 1rem; color: #1a1a1a; margin: 0 0 0.75rem; padding-bottom: 0.4rem; border-bottom: 2px solid var(--ac, #3d5a80); } .calc-related-list { list-style: none; padding: 0; margin: 0 0 0.75rem; display: grid; grid-template-columns: 1fr 1fr; gap: 0.4rem 1.5rem; } .calc-related-list li a { font-size: 0.88rem; color: var(--ac, #3d5a80); text-decoration: none; } .calc-related-list li a:hover { text-decoration: underline; } .calc-browse-all { margin: 0.5rem 0 0; font-size: 0.9rem; font-weight: 600; } .calc-browse-all a { color: var(--ac, #3d5a80); text-decoration: none; } .calc-browse-all a:hover { text-decoration: underline; } @media (max-width: 720px) { .calc-related-list { grid-template-columns: 1fr; } }

Security Camera Coverage Area Calculator

Calculate the coverage area of a security camera based on its horizontal field of view (FOV) angle and maximum detection range.

Horizontal Field of View (degrees)

Typical cameras: 60°–120°. Wide-angle: up to 180°.

Detection Range (meters)

Maximum effective detection distance from the camera.

Number of Cameras

Total number of cameras with the same specifications.

Overlap Between Cameras (%)

Recommended 10–20% overlap to eliminate blind spots.

Calculate Coverage

function secCalc() { var fovDeg = parseFloat(document.getElementById('sec-fov').value); var range = parseFloat(document.getElementById('sec-range').value); var cameras = parseInt(document.getElementById('sec-cameras').value); var overlap = parseFloat(document.getElementById('sec-overlap').value); var resultEl = document.getElementById('sec-result');

// --- Input validation --- if (isNaN(fovDeg) || isNaN(range) || isNaN(cameras) || isNaN(overlap)) { resultEl.innerHTML = 'Please fill in all fields.'; return; } if (fovDeg 360) { resultEl.innerHTML = 'Field of view must be between 1° and 360°.'; return; } if (range Detection range must be greater than 0.'; return; } if (cameras Number of cameras must be at least 1.'; return; } if (overlap = 100) { resultEl.innerHTML = 'Overlap must be between 0% and 99%.'; return; }

// --- Core formulas --- // Single camera coverage area (circular sector): // A = (θ / 360) × π × r² // where θ = FOV in degrees, r = range in meters var fovRad = fovDeg * Math.PI / 180; var singleArea = 0.5 * fovRad * range * range; // (θ_rad / 2) × r² ≡ sector formula var singleAreaAlt = (fovDeg / 360) * Math.PI * range * range; // equivalent form

// Arc length (width of coverage at maximum range): // Arc = r × θ_rad var arcLength = range * fovRad;

// Chord length (straight-line width at max range): // Chord = 2 × r × sin(θ/2) var chordLength = 2 * range * Math.sin(fovRad / 2);

// Total raw area for N cameras (no overlap deduction): var totalRaw = singleArea * cameras;

// Effective total area accounting for overlap:
// A_effective = N × A_single × (1 - overlap/100)
// (overlap reduces the net new area each additional camera adds)
var effectiveFactor = 1 - (overlap / 100);
var effectiveTotal = cameras === 1
? singleArea
singleArea + (cameras - 1) * singleArea * effectiveFactor;

// Perimeter of a single sector: // P = 2r + arc (two radii + arc) var perimeter = 2 * range + arcLength;

// --- Format helpers --- function fmt(v, d) { return v.toFixed(d !== undefined ? d : 2); }

resultEl.innerHTML = '### Coverage Results ' + '' + 'Single Camera Coverage Area' + '' + fmt(singleArea) + ' m²' + ' (' + fmt(singleArea / 10000, 4) + ' ha)' + 'Arc Width at Max Range' + '' + fmt(arcLength) + ' m' + 'Chord Width at Max Range' + '' + fmt(chordLength) + ' m' + 'Sector Perimeter' + '' + fmt(perimeter) + ' m' + '' + 'Number of Cameras' + '' + cameras + '' + 'Overlap Deduction' + '' + fmt(overlap, 1) + '%' + 'Total Raw Area (no overlap)' + '' + fmt(totalRaw) + ' m²' + 'Effective Total Coverage' + '' + fmt(effectiveTotal) + ' m²' + ' (' + fmt(effectiveTotal / 10000, 4) + ' ha)' + ''; }

#### Formulas Used

Single Camera Coverage Area (Circular Sector): A = (θ / 360) × π × r²  ≡  ½ × θrad × r² where θ = horizontal FOV (degrees), r = detection range (m)

Arc Width at Maximum Range: Arc = r × θrad

Chord Width at Maximum Range: Chord = 2 × r × sin(θ / 2)

Sector Perimeter: P = 2r + Arc

Effective Total Coverage (N cameras with overlap %): Aeff = Asingle + (N − 1) × Asingle × (1 − overlap/100)

#### Assumptions & References

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