Total Surface Area of Spherical Wedge 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%
✖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 [r_Circular]			+10% -10%

✖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]

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Formula

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Total Surface Area of Spherical Wedge

Formula

`"TSA" = ((2*"∠"_{"Wedge"})+pi)*"r"_{"Circular"}^2`

Example

`"471.2389m²"=((2*"45°")+pi)*("10m")^2`

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Total Surface Area of Spherical Wedge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Angle of Spherical Wedge: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Circular Radius of Spherical Wedge: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = ((2*∠_Wedge)+pi)*r_Circular^2 --> ((2*0.785398163397301)+pi)*10^2

Evaluating ... ...

TSA = 471.238898038439

STEP 3: Convert Result to Output's Unit

471.238898038439 Square Meter --> No Conversion Required

FINAL ANSWER

471.238898038439 ≈ 471.2389 Square Meter <-- Total Surface Area of Spherical Wedge

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 3 Total Surface Area of Spherical Wedge Calculators

Total Surface Area of Spherical Wedge given Surface to Volume Ratio

Go Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^2

Total Surface Area of Spherical Wedge given Volume

Go Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3)

Total Surface Area of Spherical Wedge

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

Total Surface Area of Spherical Wedge Formula

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

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 Total Surface Area of Spherical Wedge?

Total Surface Area of Spherical Wedge calculator uses Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*Circular Radius of Spherical Wedge^2 to calculate the Total Surface Area of Spherical Wedge, Total Surface Area of Spherical Wedge formula 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 is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Wedge using this online calculator? To use this online calculator for Total Surface Area of Spherical Wedge, enter Angle of Spherical Wedge (∠_Wedge) & Circular Radius of Spherical Wedge (r_Circular) and hit the calculate button. Here is how the Total Surface Area of Spherical Wedge calculation can be explained with given input values -> 471.2389 = ((2*0.785398163397301)+pi)*10^2.

FAQ

What is Total Surface Area of Spherical Wedge?

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

How to calculate Total Surface Area of Spherical Wedge?

Total Surface Area of Spherical Wedge formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Wedge is calculated using Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*Circular Radius of Spherical Wedge^2. To calculate Total Surface Area of Spherical Wedge, you need Angle of Spherical Wedge (∠_Wedge) & Circular Radius of Spherical Wedge (r_Circular). With our tool, you need to enter the respective value for Angle of Spherical Wedge & Circular Radius 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 Total Surface Area of Spherical Wedge?

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

Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*((3*Volume of Spherical Wedge)/(2*Angle of Spherical Wedge))^(2/3)
Total Surface Area of Spherical Wedge = ((2*Angle of Spherical Wedge)+pi)*(((2*Angle of Spherical Wedge)+pi)/(2/3*Angle of Spherical Wedge*Surface to Volume Ratio of Spherical Wedge))^2

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