Area of a right-of-way strip take along an alignment
A road widening takes a fifteen-foot strip along a frontage that runs partly on tangent and partly around a curve. The tangent part is a rectangle; the curved part is the difference of two circular sectors.
Apply· about 20 minutes by hand· 5 steps
Given
An existing public right of way is 30.00 ft wide measured from the alignment centerline. It is being widened to 45.00 ft from the same centerline, on the subject parcel's side only.
The parcel frontage begins at the point of curvature station and runs back along the tangent 240.00 ft, and forward around the curve for the whole of the curve.
The centerline curve has radius R = 800.00 ft and central angle Δ = 28°00′00″.
The parcel lies on the outside of the curve, so its right-of-way line is at a radius greater than the centerline radius.
The take is the 15.00 ft strip between the existing 30.00 ft line and the proposed 45.00 ft line, along the whole frontage.
Distances in US survey feet; report the take to 1 ft² and 0.001 acre.
Required
The take area along the tangent portion.
The take area along the curved portion.
The total take, in square feet and acres.
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