Two straight roadways AB and BC intersect at B with a deviation angle of 12°00'00". They are to be joined by a circular curve of 500 m radius from A to C. The curve is to be set out at 20 m chainage intervals, from point A. Given that the chainage of point B is 842.750 m, calculate: the chainage points of the setting out pegs along the curve (set out clearly in a table); the tangential angles required to set out the curve from the initial tangent point in degrees (") minutes () seconds (").

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Curve setting

A curve is a turn that is provided horizontally or vertically in the design of highways, railways, and runways. A curve connects two straight lines that are separated by the deflection angle. It helps to change the direction and alignment of the highways, railway tracks, and runways. Therefore, the gradual change in their alignment is made by using a curve to provide comfort to the passengers and this also provides an easy turn to change the direction of the moving vehicle.