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Irrigation - Engineering

Q1:

If the straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the perimeter of the canal is

A R(θ + tan θ)

B 2R(θ + tan θ)

C R(θ + cos θ)

D 2R(θ + cos θ)

E none of these.

ANS:D - 2R(θ + cos θ)

Perimetre = 2R(θ+Cotθ),
Area = R^2(θ+Cotθ),
Hydraulic radius = R=(A/P) = R/2.