Radius 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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✖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 given Arc Length [r]

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Radius of Spherical Corner given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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

r = (2*l_Arc)/pi --> (2*16)/pi

Evaluating ... ...

r = 10.1859163578813

STEP 3: Convert Result to Output's Unit

10.1859163578813 Meter --> No Conversion Required

FINAL ANSWER

10.1859163578813 ≈ 10.18592 Meter <-- Radius of Spherical Corner

(Calculation completed in 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Radius of Spherical Corner Calculators

Radius of Spherical Corner given Total Surface Area

LaTeX Go Radius of Spherical Corner = sqrt((4*Total Surface Area of Spherical Corner)/(5*pi))

Radius of Spherical Corner given Volume

LaTeX Go Radius of Spherical Corner = ((6*Volume of Spherical Corner)/pi)^(1/3)

Radius of Spherical Corner given Arc Length

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

Radius of Spherical Corner given Surface to Volume Ratio

LaTeX Go Radius of Spherical Corner = 15/(2*Surface to Volume Ratio of Spherical Corner)

Radius of Spherical Corner given Arc Length Formula

LaTeX Go

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

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 Radius of Spherical Corner given Arc Length?

Radius of Spherical Corner given Arc Length calculator uses Radius of Spherical Corner = (2*Arc Length of Spherical Corner)/pi to calculate the Radius of Spherical Corner, Radius of Spherical Corner given Arc Length formula is defined as 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, and calculated using the arc length of the Spherical Corner. Radius of Spherical Corner is denoted by r symbol.

How to calculate Radius of Spherical Corner given Arc Length using this online calculator? To use this online calculator for Radius of Spherical Corner given Arc Length, enter Arc Length of Spherical Corner (l_Arc) and hit the calculate button. Here is how the Radius of Spherical Corner given Arc Length calculation can be explained with given input values -> 10.18592 = (2*16)/pi.

FAQ

What is Radius of Spherical Corner given Arc Length?

Radius of Spherical Corner given Arc Length formula is defined as 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, and calculated using the arc length of the Spherical Corner and is represented as r = (2*l_Arc)/pi or Radius of Spherical Corner = (2*Arc Length of Spherical Corner)/pi. 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 Radius of Spherical Corner given Arc Length?

Radius of Spherical Corner given Arc Length formula is defined as 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, and calculated using the arc length of the Spherical Corner is calculated using Radius of Spherical Corner = (2*Arc Length of Spherical Corner)/pi. To calculate Radius 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 Radius of Spherical Corner?

In this formula, Radius 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 -

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

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