Total Surface Area of Spherical Corner given Arc Length Calculator

✖Arc Length of Spherical Corner is the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner.ⓘ Arc Length of Spherical Corner [l_Arc]

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✖Total Surface Area of Spherical Corner is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner.ⓘ Total Surface Area of Spherical Corner given Arc Length [TSA]

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Formula

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Total Surface Area of Spherical Corner given Arc Length

Formula

`"TSA" = 5/pi*"l"_{"Arc"}^2`

Example

`"407.4367m²"=5/pi*("16m")^2`

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Total Surface Area of Spherical Corner given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2
TSA = 5/pi*l_Arc^2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Spherical Corner - (Measured in Square Meter) - Total Surface Area of Spherical Corner is the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner.
Arc Length of Spherical Corner - (Measured in Meter) - Arc Length of Spherical Corner is the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Spherical Corner: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 5/pi*l_Arc^2 --> 5/pi*16^2

Evaluating ... ...

TSA = 407.436654315252

STEP 3: Convert Result to Output's Unit

407.436654315252 Square Meter --> No Conversion Required

FINAL ANSWER

407.436654315252 ≈ 407.4367 Square Meter <-- Total Surface Area of Spherical Corner

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Total Surface Area of Spherical Corner Calculators

Total Surface Area of Spherical Corner given Volume

Go Total Surface Area of Spherical Corner = 5/4*pi*((6*Volume of Spherical Corner)/pi)^(2/3)

Total Surface Area of Spherical Corner given Surface to Volume Ratio

Go Total Surface Area of Spherical Corner = 1125/16*pi/(Surface to Volume Ratio of Spherical Corner^2)

Total Surface Area of Spherical Corner given Arc Length

Go Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2

Total Surface Area of Spherical Corner

Go Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2

Total Surface Area of Spherical Corner given Arc Length Formula

Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2
TSA = 5/pi*l_Arc^2

What is a Spherical Corner?

If a sphere is cut into 8 equal parts by three mutually perpendicular planes passing through the center of the sphere, then one such part is called the Spherical Corner. Geometrically, a Spherical Corner consists of 1 curved surface which is one eighth part of the surface of sphere and 3 flat surfaces each of which are equal to the one fourth of the great circle of the sphere.

How to Calculate Total Surface Area of Spherical Corner given Arc Length?

Total Surface Area of Spherical Corner given Arc Length calculator uses Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2 to calculate the Total Surface Area of Spherical Corner, Total Surface Area of Spherical Corner given Arc Length formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner, and calculated using the arc length of the Spherical Corner. Total Surface Area of Spherical Corner is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Corner given Arc Length using this online calculator? To use this online calculator for Total Surface Area of Spherical Corner given Arc Length, enter Arc Length of Spherical Corner (l_Arc) and hit the calculate button. Here is how the Total Surface Area of Spherical Corner given Arc Length calculation can be explained with given input values -> 407.4367 = 5/pi*16^2.

FAQ

What is Total Surface Area of Spherical Corner given Arc Length?

Total Surface Area of Spherical Corner given Arc Length formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner, and calculated using the arc length of the Spherical Corner and is represented as TSA = 5/pi*l_Arc^2 or Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2. Arc Length of Spherical Corner is the length of any of the three curved edges of the Spherical Corner which together form the boundary of the curved surface of the Spherical Corner.

How to calculate Total Surface Area of Spherical Corner given Arc Length?

Total Surface Area of Spherical Corner given Arc Length formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Spherical Corner, and calculated using the arc length of the Spherical Corner is calculated using Total Surface Area of Spherical Corner = 5/pi*Arc Length of Spherical Corner^2. To calculate Total Surface Area of Spherical Corner given Arc Length, you need Arc Length of Spherical Corner (l_Arc). With our tool, you need to enter the respective value for Arc Length of Spherical Corner 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 Corner?

In this formula, Total Surface Area of Spherical Corner uses Arc Length of Spherical Corner. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Spherical Corner = 5/4*pi*Radius of Spherical Corner^2
Total Surface Area of Spherical Corner = 5/4*pi*((6*Volume of Spherical Corner)/pi)^(2/3)
Total Surface Area of Spherical Corner = 1125/16*pi/(Surface to Volume Ratio of Spherical Corner^2)

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