Multiple choice

Two straight lines intersect at an angle of 60o. The radius of a curve joining the two straight lines is 600 m. The length of long chord and mid-ordinates in metres of the curve are respectively

  1. 80.4 and 600.00

  2. 600.0 and 80.4

  3. 600.0 and 39.89

  4. 40 and 89,300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For a circular curve, the long chord L = 2R sin(delta/2) and mid-ordinate M = R(1 - cos(delta/2)). With R = 600 and delta = 60 degrees: L = 2 * 600 * sin(30) = 1200 * 0.5 = 600 m. M = 600 * (1 - cos(30)) = 600 * (1 - 0.866) = 80.4 m.

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