Circular Radius of Spherical Wedge given Total Surface Area Calculator

✖Total Surface Area of Spherical Wedge is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge.ⓘ Total Surface Area of Spherical Wedge [TSA]			+10% -10%
✖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%

✖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 Total Surface Area [r_Circular]

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Circular Radius of Spherical Wedge given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))
r_Circular = sqrt(TSA/(pi+(2*∠_Wedge)))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Total Surface Area of Spherical Wedge - (Measured in Square Meter) - Total Surface Area of Spherical Wedge is defined as the total quantity of two dimensional space enclosed on the entire surface 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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Spherical Wedge: 470 Square Meter --> 470 Square Meter No Conversion Required
Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Circular = sqrt(TSA/(pi+(2*∠_Wedge))) --> sqrt(470/(pi+(2*0.785398163397301)))

Evaluating ... ...

r_Circular = 9.98684623246635

STEP 3: Convert Result to Output's Unit

9.98684623246635 Meter --> No Conversion Required

FINAL ANSWER

9.98684623246635 ≈ 9.986846 Meter <-- Circular Radius of Spherical Wedge

(Calculation completed in 00.004 seconds)

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< 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 Total Surface Area Formula

LaTeX Go

Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge)))
r_Circular = sqrt(TSA/(pi+(2*∠_Wedge)))

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 Total Surface Area?

Circular Radius of Spherical Wedge given Total Surface Area calculator uses Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge))) to calculate the Circular Radius of Spherical Wedge, The Circular Radius of Spherical Wedge given Total Surface Area 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, calculated using total surface area. Circular Radius of Spherical Wedge is denoted by r_Circular symbol.

How to calculate Circular Radius of Spherical Wedge given Total Surface Area using this online calculator? To use this online calculator for Circular Radius of Spherical Wedge given Total Surface Area, enter Total Surface Area of Spherical Wedge (TSA) & Angle of Spherical Wedge (∠_Wedge) and hit the calculate button. Here is how the Circular Radius of Spherical Wedge given Total Surface Area calculation can be explained with given input values -> 9.986846 = sqrt(470/(pi+(2*0.785398163397301))).

FAQ

What is Circular Radius of Spherical Wedge given Total Surface Area?

The Circular Radius of Spherical Wedge given Total Surface Area 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, calculated using total surface area and is represented as r_Circular = sqrt(TSA/(pi+(2*∠_Wedge))) or Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge))). Total Surface Area of Spherical Wedge is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge & Angle of Spherical Wedge is the measure of wideness of the identical flat semicircular shaped faces of the Spherical Wedge.

How to calculate Circular Radius of Spherical Wedge given Total Surface Area?

The Circular Radius of Spherical Wedge given Total Surface Area 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, calculated using total surface area is calculated using Circular Radius of Spherical Wedge = sqrt(Total Surface Area of Spherical Wedge/(pi+(2*Angle of Spherical Wedge))). To calculate Circular Radius of Spherical Wedge given Total Surface Area, you need Total Surface Area of Spherical Wedge (TSA) & Angle of Spherical Wedge (∠_Wedge). With our tool, you need to enter the respective value for Total Surface Area of Spherical Wedge & Angle 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 Total Surface Area of Spherical Wedge & Angle of Spherical Wedge. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circular Radius of Spherical Wedge = ((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(1/3)
Circular Radius of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge)

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