Spherical Radius of Spherical Sector Calculator

✖Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.ⓘ Spherical Cap Radius of Spherical Sector [r_Cap]			+10% -10%
✖Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.ⓘ Spherical Cap Height of Spherical Sector [h_Cap]			+10% -10%

✖Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut.ⓘ Spherical Radius of Spherical Sector [r_Sphere]

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Formula

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Spherical Radius of Spherical Sector

Formula

`"r"_{"Sphere"} = 1/2*(("r"_{"Cap"}^2)/"h"_{"Cap"}+"h"_{"Cap"})`

Example

`"10m"=1/2*((("8m")^2)/"4m"+"4m")`

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Spherical Radius of Spherical Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)
r_Sphere = 1/2*((r_Cap^2)/h_Cap+h_Cap)
This formula uses 3 Variables

Variables Used

Spherical Radius of Spherical Sector - (Measured in Meter) - Spherical Radius of Spherical Sector is the distance from centre to any point on the surface of the sphere from which the Spherical Sector is cut.
Spherical Cap Radius of Spherical Sector - (Measured in Meter) - Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector.
Spherical Cap Height of Spherical Sector - (Measured in Meter) - Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.

STEP 1: Convert Input(s) to Base Unit

Spherical Cap Radius of Spherical Sector: 8 Meter --> 8 Meter No Conversion Required
Spherical Cap Height of Spherical Sector: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_Sphere = 1/2*((r_Cap^2)/h_Cap+h_Cap) --> 1/2*((8^2)/4+4)

Evaluating ... ...

r_Sphere = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Spherical Radius of Spherical Sector

(Calculation completed in 00.004 seconds)

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< 4 Spherical Radius of Spherical Sector Calculators

Spherical Radius of Spherical Sector given Surface to Volume Ratio

Go Spherical Radius of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Surface to Volume Ratio of Spherical Sector*Spherical Cap Height of Spherical Sector/3)

Spherical Radius of Spherical Sector given Total Surface Area

Go Spherical Radius of Spherical Sector = Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))

Spherical Radius of Spherical Sector

Go Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector)

Spherical Radius of Spherical Sector given Volume

Go Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))

Spherical Radius of Spherical Sector Formula

What is Spherical Sector?

In geometry, a Spherical Sector, also known as a spherical cone, is a portion of a sphere or of a ball defined by a conical boundary with apex at the center of the sphere. It can be described as the union of a spherical cap and the cone formed by the center of the sphere and the base of the cap. It is the three-dimensional analogue of the sector of a circle.

How to Calculate Spherical Radius of Spherical Sector?

Spherical Radius of Spherical Sector calculator uses Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector) to calculate the Spherical Radius of Spherical Sector, Spherical Radius of Spherical Sector formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut. Spherical Radius of Spherical Sector is denoted by r_Sphere symbol.

How to calculate Spherical Radius of Spherical Sector using this online calculator? To use this online calculator for Spherical Radius of Spherical Sector, enter Spherical Cap Radius of Spherical Sector (r_Cap) & Spherical Cap Height of Spherical Sector (h_Cap) and hit the calculate button. Here is how the Spherical Radius of Spherical Sector calculation can be explained with given input values -> 10 = 1/2*((8^2)/4+4).

FAQ

What is Spherical Radius of Spherical Sector?

Spherical Radius of Spherical Sector formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut and is represented as r_Sphere = 1/2*((r_Cap^2)/h_Cap+h_Cap) or Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector). Spherical Cap Radius of Spherical Sector is defined as the distance between centre and any point on the circumference of the circle at the bottom level of the cap surface of the Spherical Sector & Spherical Cap Height of Spherical Sector is the vertical distance from the topmost point to the bottom level of the cap surface of the Spherical Sector.

How to calculate Spherical Radius of Spherical Sector?

Spherical Radius of Spherical Sector formula is defined as the distance from center to any point on the surface of the sphere from which the Spherical Sector is cut is calculated using Spherical Radius of Spherical Sector = 1/2*((Spherical Cap Radius of Spherical Sector^2)/Spherical Cap Height of Spherical Sector+Spherical Cap Height of Spherical Sector). To calculate Spherical Radius of Spherical Sector, you need Spherical Cap Radius of Spherical Sector (r_Cap) & Spherical Cap Height of Spherical Sector (h_Cap). With our tool, you need to enter the respective value for Spherical Cap Radius of Spherical Sector & Spherical Cap Height of Spherical Sector 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 Spherical Radius of Spherical Sector?

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

Spherical Radius of Spherical Sector = Total Surface Area of Spherical Sector/(pi*((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector))
Spherical Radius of Spherical Sector = ((2*Spherical Cap Height of Spherical Sector)+Spherical Cap Radius of Spherical Sector)/(2*Surface to Volume Ratio of Spherical Sector*Spherical Cap Height of Spherical Sector/3)
Spherical Radius of Spherical Sector = sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))

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