# Question: circular railroad curves are designated by the degree of curvature...

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Circular railroad curves are designated by the degree of curvature, the central angle subtended by a chord of 100 ft. Suppose a portion of track has a curvature of 50.0degrees. Find (a) the radius of the curve, (b) the length of the arc determined by the 100-ft chord, and (c) the area of the portion of the circle bounded by the arc and the 100-ft chord.

(a) The radius of the curve is 118 ft. (Round to the nearest integer as needed.)

(b) The length of the arc determined by the 100-ft chord is 103 ft. (Round to the nearest integer as needed.)

(c) The area bounded by the arc and the 100-ft chord is _____ ft squared. (Round to the nearest integer as needed.)