Tower & receiver
feetHorizon estimates
Formulas & assumptions
Distance from both antenna heights
Heights hₜ and hᵣ are in feet AGL; distances are in miles.
Radio: d ≈ 1.415 × (√hₜ + √hᵣ)
Geometric: d ≈ 1.225 × (√hₜ + √hᵣ)
The calculation uses √(2kRh) for each endpoint, R = 6,371 km, and k = 4/3 for a standard refracting atmosphere or k = 1 for geometric line of sight. Coefficients shown are rounded; calculations use the constants directly. See ITU horizon geometry.
A useful first approximation
Area = πd², a theoretical circle in square miles. Radiation center AMSL = base elevation AMSL + radiation center AGL.
Assumes a smooth Earth and similar ground elevations at both ends. These heights are not HAAT (height above average terrain). Base elevation is not added to the horizon height.
The 8 m antenna setback is a rough convenience estimate, not FCC antenna data. Enter the actual radiation center when known. ZIP or coordinates do not change the results. Population and density are reserved for a future data integration.