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The intersection angle of a 3 degree curve is 45.2 degrees. What is the length of the curve? of Select one: O a. 455 m O b.573 m C. 452 m O d. 25.9 km

User Krokodyle
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1 Answer

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Step-by-step explanation:

Relation between length of a curve and angle is as follows.

l =
R * \Theta

where, R = radius of curve


\Theta = angle in radians

Also, l =
R * \Theta * (\pi)/(180) .......... (1)

If curve has a degree of curvature
D_(a) for standard length s, then

R =
(s)/(D_(a)) * (180)/(\pi) ........... (2)

Now, substitute the value of R from equation (2) into equation (1) as follows.

l =
(s * \Theta)/(D_(a))

If s = 30 m, then calculate the value of l as follows.

l =
(s * \Theta)/(D_(a))

=
30 * (45.2)/(3)

= 452 m

thus, we can conclude that the length of the curve is 452 m.

User Dcritelli
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7.4k points

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