A simple horizontal curve has a radius of 600 ft and central angle of 70o. Compute the degree of curve. a. 14.32o b. 36o c. 9.55o d. 11.45o
Question
A simple horizontal curve has a radius of 600 ft and central angle of 70o. Compute the degree of curve. a. 14.32o b. 36o c. 9.55o d. 11.45o
Solution
The degree of curve (D) can be calculated using the formula:
D = 180° / π * (1 / R)
where R is the radius of the curve.
Given that R = 600 ft, we can substitute this into the formula:
D = 180° / π * (1 / 600)
This gives us a degree of curve of approximately 0.95493 degrees. However, this is the degree of curve for a 1-degree central angle.
The problem states that the central angle is 70 degrees. Therefore, we need to multiply our result by 70:
D = 70 * 0.95493 = 66.8451 degrees
This result does not match any of the options provided. There may be a mistake in the problem or in the provided options.
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