Practice Quiz

Surveying FS

Category - Plane Survey Calc

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What is the length of the arc for the given curve?

Radius 270.00
Tangent in N 15°15’ E
Tangent out N 20°15’ E
  1. 2.354 ft
  2. 23.54 ft
  3. 235.40 ft
  4. None of the above
Explanation
Answer: B - The length of the arc for the given curve is 23.54 ft.

Solution

Use the horizontal circular curve formula
L = R x r (expressed in radians)

Where L = length of arc

R = radius = 270.00

r = central angle

1. Convert angle from degrees into radians

Angle in radians = (angle in degrees) x Π/180

= (20.25 - 15.25) Π/180 = 0.0872 radians

2. Determine length of arc

L = 270.00 (0.0872) = 23.54 ft

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