A simple horizontal curve has a radius of 600 ft and central angle of 70o. Compute the Length of curve. a. 436.33 ft b. 733.04 ft c. 327.25 ft d. 610.87 ft
Question
A simple horizontal curve has a radius of 600 ft and central angle of 70°.
Compute the Length of curve.
- a. 436.33 ft
- b. 733.04 ft
- c. 327.25 ft
- d. 610.87 ft
Solution
The length of a curve (L) in a circle can be calculated using the formula:
L = 2πR(θ/360)
where:
- R is the radius of the circle,
- θ is the central angle in degrees.
Given:
- R = 600 ft,
- θ = 70°,
we can substitute these values into the formula:
L = 2π(600 ft)(70°/360°)
Solving this will give us the length of the curve.
Let's calculate:
L = 2 * 3.1416 * 600 * (70/360) L = 733.04 ft
So, the length of the curve is 733.04 ft. The correct answer is (b) 733.04 ft.
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