Question
Download Solution PDFThe degree of the curve is an angle subtended at the centre by a chord of length ________ and the degree of a curve with radius 688 m will be equal to _________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
(a) if the length of the chord is 20 m
\(D^{∘}={1146\over R}\)
Where R = Radius of the curve in m
D∘ = Degree of curve
(b) If the chord length is 30 m
\(D^{∘}={1719\over R}\)
Calculation:
Given data:
Curve radius (R) = 688 m
Chord length (L) =?
Degree of the curve (\(D^{∘}\)) =?
Let the length of the chord is 20
\(Degree\, of\, curve(D^{∘})={1146\over 688}\)
\(Degree\, of\, curve(D^{∘})=1.665^{∘}\)
Degree of curve 1.665∘ not given an option
Let the length of the chord is 30
\(Degree\, of\, curve(D^{∘})={1719\over 688}\)
\(Degree\, of\, curve(D^{∘})=2.4985\approx 2.5^{∘}\)
\(Degree\, of\, curve(D^{\circ})=2.5^{\circ}\)
Last updated on May 28, 2025
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