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What is the cross-sectional area (sq. m) of the channel, if its hydraulic radius and wetted perimeter is given as 300 cm and 860 cm respectively?
  • a)
    10.5
  • b)
    15.6
  • c)
    25.8
  • d)
    32.4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the cross-sectional area (sq. m) of the channel, if its hydrau...
Hydraulic radius is given by = 
Area = 258 × 103 cm2
Area = 25.8 m2
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What is the cross-sectional area (sq. m) of the channel, if its hydrau...
Calculation of Cross-sectional Area of Channel

Given Data:
Hydraulic radius (R) = 300 cm
Wetted perimeter (P) = 860 cm

We know that the hydraulic radius is equal to the cross-sectional area (A) divided by the wetted perimeter (P).

i.e., R = A/P

Therefore, the cross-sectional area of the channel can be calculated as follows:

A = R x P
= 300 cm x 860 cm
= 258000 cm²

Converting cm² to m²:

1 m² = 10000 cm²
Therefore, 258000 cm² = 25.8 m²

Hence, the cross-sectional area of the channel is 25.8 sq. m.

Answer: Option (c) 25.8
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What is the cross-sectional area (sq. m) of the channel, if its hydraulic radius and wetted perimeter is given as 300 cm and 860 cm respectively?a)10.5b)15.6c)25.8d)32.4Correct answer is option 'C'. Can you explain this answer?
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