Circular Radius of Spherical Wedge given Surface to Volume Ratio Calculator

✖Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.ⓘ Angle of Spherical Wedge [∠_Wedge]			+10% -10%
✖Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.ⓘ Surface to Volume Ratio of Spherical Wedge [R_A/V]			+10% -10%

✖Circular Radius of Spherical Wedge is the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge.ⓘ Circular Radius of Spherical Wedge given Surface to Volume Ratio [r_Circular]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Circular Radius of Spherical Wedge given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)
r_Circular = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Circular Radius of Spherical Wedge - (Measured in Meter) - Circular Radius of Spherical Wedge is the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge.
Angle of Spherical Wedge - (Measured in Radian) - Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.
Surface to Volume Ratio of Spherical Wedge - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.

STEP 1: Convert Input(s) to Base Unit

Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Surface to Volume Ratio of Spherical Wedge: 0.9 1 per Meter --> 0.9 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Circular = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V) --> ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9)

Evaluating ... ...

r_Circular = 10.0000000000013

STEP 3: Convert Result to Output's Unit

10.0000000000013 Meter --> No Conversion Required

FINAL ANSWER

10.0000000000013 ≈ 10 Meter <-- Circular Radius of Spherical Wedge

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Spherical Wedge » Circular Radius of Spherical Wedge » Circular Radius of Spherical Wedge given Surface to Volume Ratio

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Circular Radius of Spherical Wedge Calculators

Circular Radius of Spherical Wedge given Surface to Volume Ratio

LaTeX Go Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)

Circular Radius of Spherical Wedge given Total Surface Area

LaTeX Go Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))

Circular Radius of Spherical Wedge given Volume

LaTeX Go Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)

Circular Radius of Spherical Wedge given Surface to Volume Ratio Formula

LaTeX Go

Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)
r_Circular = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V)

What is Spherical Wedge?

In geometry, a Spherical Wedge or ungula is a portion of a ball bounded by two plane semidisks and a spherical lune (termed the wedge's base). The angle between the radii lying within the bounding semidisks is the dihedral angle of the wedge α.

How to Calculate Circular Radius of Spherical Wedge given Surface to Volume Ratio?

Circular Radius of Spherical Wedge given Surface to Volume Ratio calculator uses Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge) to calculate the Circular Radius of Spherical Wedge, Circular Radius of Spherical Wedge given Surface to Volume Ratio formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge. Circular Radius of Spherical Wedge is denoted by r_Circular symbol.

How to calculate Circular Radius of Spherical Wedge given Surface to Volume Ratio using this online calculator? To use this online calculator for Circular Radius of Spherical Wedge given Surface to Volume Ratio, enter Angle of Spherical Wedge (∠_Wedge) & Surface to Volume Ratio of Spherical Wedge (R_A/V) and hit the calculate button. Here is how the Circular Radius of Spherical Wedge given Surface to Volume Ratio calculation can be explained with given input values -> 10 = ((2*0.785398163397301)+pi)/(2/3*0.785398163397301*0.9).

FAQ

What is Circular Radius of Spherical Wedge given Surface to Volume Ratio?

Circular Radius of Spherical Wedge given Surface to Volume Ratio formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge and is represented as r_Circular = ((2*∠_Wedge)+pi)/(2/3*∠_Wedge*R_A/V) or Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge). Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge & Surface to Volume Ratio of Spherical Wedge is defined as the numerical ratio of the total surface area of Spherical Wedge to the volume of the Spherical Wedge.

How to calculate Circular Radius of Spherical Wedge given Surface to Volume Ratio?

Circular Radius of Spherical Wedge given Surface to Volume Ratio formula is defined as the distance between center and any point on the curved boundary of the flat semicircular shaped face of the Spherical Wedge is calculated using Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge). To calculate Circular Radius of Spherical Wedge given Surface to Volume Ratio, you need Angle of Spherical Wedge (∠_Wedge) & Surface to Volume Ratio of Spherical Wedge (R_A/V). With our tool, you need to enter the respective value for Angle of Spherical Wedge & Surface to Volume Ratio of Spherical Wedge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circular Radius of Spherical Wedge?

In this formula, Circular Radius of Spherical Wedge uses Angle of Spherical Wedge & Surface to Volume Ratio of Spherical Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))
Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)

Home

FREE PDFs

🔍 Search