A simple curve which has a two points A and B with a deflection angle of 4ᴏ and 6ᴏ . The chord distance between the two points is 20m and the angle of intersection it made is 24ᴏ . Find the radius of the curve, the chord distance between PC and point A and the tangent distance of the said simple curve.

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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.