Arc Length of Spherical Corner Calculator

✖Radius of Spherical Corner is the distance from the corner vertex to the any point on the curved surface of the Spherical Corner or it is the radius of sphere from which the Spherical Corner is cut.ⓘ Radius of Spherical Corner [r]

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✖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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Formula

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Arc Length of Spherical Corner

Formula

`"l"_{"Arc"} = (pi*"r")/2`

Example

`"15.70796m"=(pi*"10m")/2`

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Arc Length of Spherical Corner Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2
l_Arc = (pi*r)/2
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Radius of Spherical Corner - (Measured in Meter) - Radius of Spherical Corner is the distance from the corner vertex to the any point on the curved surface of the Spherical Corner or it is the radius of sphere from which the Spherical Corner is cut.

STEP 1: Convert Input(s) to Base Unit

Radius of Spherical Corner: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (pi*r)/2 --> (pi*10)/2

Evaluating ... ...

l_Arc = 15.707963267949

STEP 3: Convert Result to Output's Unit

15.707963267949 Meter --> No Conversion Required

FINAL ANSWER

15.707963267949 ≈ 15.70796 Meter <-- Arc Length of Spherical Corner

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Arc Length of Spherical Corner Calculators

Arc Length of Spherical Corner given Total Surface Area

Go Arc Length of Spherical Corner = sqrt((pi*Total Surface Area of Spherical Corner)/5)

Arc Length of Spherical Corner given Volume

Go Arc Length of Spherical Corner = pi/2*((6*Volume of Spherical Corner)/pi)^(1/3)

Arc Length of Spherical Corner given Surface to Volume Ratio

Go Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner)

Arc Length of Spherical Corner

Go Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2

Arc Length of Spherical Corner Formula

Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2
l_Arc = (pi*r)/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 Arc Length of Spherical Corner?

Arc Length of Spherical Corner calculator uses Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2 to calculate the Arc Length of Spherical Corner, Arc Length of Spherical Corner formula is defined as 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 is denoted by l_Arc symbol.

How to calculate Arc Length of Spherical Corner using this online calculator? To use this online calculator for Arc Length of Spherical Corner, enter Radius of Spherical Corner (r) and hit the calculate button. Here is how the Arc Length of Spherical Corner calculation can be explained with given input values -> 15.70796 = (pi*10)/2.

FAQ

What is Arc Length of Spherical Corner?

Arc Length of Spherical Corner formula is defined as 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 and is represented as l_Arc = (pi*r)/2 or Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2. Radius of Spherical Corner is the distance from the corner vertex to the any point on the curved surface of the Spherical Corner or it is the radius of sphere from which the Spherical Corner is cut.

How to calculate Arc Length of Spherical Corner?

Arc Length of Spherical Corner formula is defined as 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 is calculated using Arc Length of Spherical Corner = (pi*Radius of Spherical Corner)/2. To calculate Arc Length of Spherical Corner, you need Radius of Spherical Corner (r). With our tool, you need to enter the respective value for Radius 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 Arc Length of Spherical Corner?

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

Arc Length of Spherical Corner = sqrt((pi*Total Surface Area of Spherical Corner)/5)
Arc Length of Spherical Corner = pi/2*((6*Volume of Spherical Corner)/pi)^(1/3)
Arc Length of Spherical Corner = (15*pi)/(4*Surface to Volume Ratio of Spherical Corner)

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