### Hydraulic Radius Calculator

Enter the Radius (r) in meters(m), Area in m², Wetted perimeter in meters (m), and you get the

### Hydraulic Radius:

Hydraulic Radius of full pipe R_{(cm)} in centimeter is equal to the area A_{(cm)} in centimeter and divided by the wetted perimeter of full pipe p_{(Cm)} in centimeter is equal to the pi value π in3.14 and multiply the square of radius r^{2}_{(m)} in meter and divided by the two pi 2π and multiply the radius r_{(m)} in meter is equal to the radius r_{(m)} in meter and divided by the two.Hence the Hydraulic Radius can be written as

Hydraulic radius of full pipe in centimeter R_{(cm)}=A_{(cm)}/p_{(Cm)}=π*r^{2}_{(m)}/2π*r_{(m)}=r_{(m)}/2

The wetted perimeter of full pipe is p=2*π*r

Hydraulic radius of full pipe R=A/p=π*r^{2}/2π*r=r/2

Pipe(less than half)

Wetted perimeter p=r*θ and θ=2* arcos [(r-h)/r]

Area A=r^{2}*(θ- sin θ)/2

Hydraulic Radius R=A/p=[r^{2}*(θ-sinθ)/2]/[r*θ and θ=2* arcos [(r-h)/r]]=[r^{2}* sin (θ))/2](r-θ)

### Triangular Channel:

Area A=B*y/2=y^{2} * Z

Watted perimeter p=2*Y*√ (1+Z^{2})

Hydraulic Radius R=A/p=Yz/[2*√ 1+z^{2})]

### Rectangular Channel:

Area A=b*y

Wetted perimeter p= b + y + y = b + 2 y

Hydraulic radius R= A/p = (by) / (b + 2 y)

### Trapezoid Channel:

Area A=y*(B+b)/2,B=b+2zy

Wetted perimeter p=b+2*y*√ (1+z^{2})

Hydraulic Radius R=A/p=(by+y^{2}*Z)/[b+2*y*√ (1+z)^{2}]