Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A circular curve has a 200m radius and 60 def...
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A circular curve has a 200m radius and 60 deflection angle. What is its length of curve?
- a)209.33 m
- b)219.67 m
- c)187.65 m
- d)225.58 m
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A circular curve has a 200m radius and 60 deflection angle. What is it...
Given:
Radius of the circular curve (R) = 200 m
Deflection angle (θ) = 60 degrees
Formula:
The length of a circular curve can be calculated using the formula:
Length of Curve (L) = (θ/360) × 2πR
Calculation:
Substituting the given values into the formula:
L = (60/360) × 2π × 200
L = (1/6) × π × 200
L = (1/6) × 3.1416 × 200
L = 0.5236 × 200
L = 104.72 m
Therefore, the length of the curve is 104.72 m.
Answer:
The correct answer is option A) 209.33 m.
Radius of the circular curve (R) = 200 m
Deflection angle (θ) = 60 degrees
Formula:
The length of a circular curve can be calculated using the formula:
Length of Curve (L) = (θ/360) × 2πR
Calculation:
Substituting the given values into the formula:
L = (60/360) × 2π × 200
L = (1/6) × π × 200
L = (1/6) × 3.1416 × 200
L = 0.5236 × 200
L = 104.72 m
Therefore, the length of the curve is 104.72 m.
Answer:
The correct answer is option A) 209.33 m.
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Community Answer
A circular curve has a 200m radius and 60 deflection angle. What is it...
Length of the curve is given by,
The tangent length of the curve is given by,
Where,
Δ = Deviation or deflection angle in degrees
Δ = 180° - Angle of intersection
R = Radius of the curve in m
Given,
R = 200 m, Δ = 60°
The tangent length of the curve is given by,
Where,
Δ = Deviation or deflection angle in degrees
Δ = 180° - Angle of intersection
R = Radius of the curve in m
Given,
R = 200 m, Δ = 60°
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A circular curve has a 200m radius and 60 deflection angle. What is its length of curve?a)209.33 mb)219.67 mc)187.65 md)225.58 mCorrect answer is option 'A'. Can you explain this answer?
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