Civil Engineering PE

Category - Transportation

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

Radius 245.00
Tangent in N 20°30’ E
Tangent out N 30°30’ E
  1. 9.07 feet
  2. 13.61 feet
  3. 41.24 feet
  4. 42.76 feet
Explanation
Answer: D - The length of the arc for the given curve is 42.76 feet.

Solution: Use the Horizontal Circular Curve formula

L = R x r (expressed in radians)

Where L = length of arc

R = radius = 245.00

r = central angle

Step 1: Convert angle from degrees into radians

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

= (30.30 - 20.30) Π/180 = 0.1745 radians

Step 2: Determine length of arc

L = R x r

= 245.00 (0.1745) = 42.76 ft
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