The 'intersection angle' of a horizontal curve (deflection angle Δ) is related to the total deflection by:
Choose the correct answer
Δ = radius of curve
T = R×tan(Δ/2); arc L = R×Δ(rad); tangent length and arc length are both functions of R and Δ
Δ is only relevant for vertical curves
No relation — Δ is independent of geometry
Correct Answer
B. T = R×tan(Δ/2); arc L = R×Δ(rad); tangent length and arc length are both functions of R and Δ
Why is this the answer?
Intersection angle Δ: angle between back tangent and forward tangent at PI (point of intersection) = total change in direction. Tangent length T = R × tan(Δ/2). Length of arc L = RΔ (Δ in radians) = πRΔ/180 (Δ in degrees). Chord C = 2R×sin(Δ/2). Long chord direction = bisects Δ. Deflection angle from tangent to any point on curve = half the subtended angle.
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