The radius of a simple curve is twice its tangent distance, if the degree of curve is 4°. a) What is the angle of intersection of the curve? b) Compute the length of curve. c) Determine the area enclosed by the curve. Provide a complete solution and the necessary illustrations.

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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.