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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. Check FAQs
rSphere=12(rCap2hCap+hCap)
rSphere - Spherical Radius of Spherical Sector?rCap - Spherical Cap Radius of Spherical Sector?hCap - Spherical Cap Height of Spherical Sector?

Spherical Radius of Spherical Sector Example

With values
With units
Only example

Here is how the Spherical Radius of Spherical Sector equation looks like with Values.

Here is how the Spherical Radius of Spherical Sector equation looks like with Units.

Here is how the Spherical Radius of Spherical Sector equation looks like.

10Edit=12(8Edit24Edit+4Edit)
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Spherical Radius of Spherical Sector Solution

Follow our step by step solution on how to calculate Spherical Radius of Spherical Sector?

FIRST Step Consider the formula
rSphere=12(rCap2hCap+hCap)
Next Step Substitute values of Variables
rSphere=12(8m24m+4m)
Next Step Prepare to Evaluate
rSphere=12(824+4)
LAST Step Evaluate
rSphere=10m

Spherical Radius of Spherical Sector Formula Elements

Variables
Spherical Radius of Spherical Sector
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.
Symbol: rSphere
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Spherical Cap Radius 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.
Symbol: rCap
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Spherical Cap Height of 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.
Symbol: hCap
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Spherical Radius of Spherical Sector

​Go Spherical Radius of Spherical Sector given Total Surface Area
rSphere=TSAπ((2hCap)+rCap)
​Go Spherical Radius of Spherical Sector given Surface to Volume Ratio
rSphere=(2hCap)+rCap2RA/VhCap3
​Go Spherical Radius of Spherical Sector given Volume
rSphere=3V2πhCap

How to Evaluate Spherical Radius of Spherical Sector?

Spherical Radius of Spherical Sector evaluator 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 evaluate 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 rSphere symbol.

How to evaluate Spherical Radius of Spherical Sector using this online evaluator? To use this online evaluator for Spherical Radius of Spherical Sector, enter Spherical Cap Radius of Spherical Sector (rCap) & Spherical Cap Height of Spherical Sector (hCap) and hit the calculate button.

FAQs on Spherical Radius of Spherical Sector

What is the formula to find Spherical Radius of Spherical Sector?
The formula of Spherical Radius of Spherical Sector is expressed as 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). Here is an example- 10 = 1/2*((8^2)/4+4).
How to calculate Spherical Radius of Spherical Sector?
With Spherical Cap Radius of Spherical Sector (rCap) & Spherical Cap Height of Spherical Sector (hCap) we can find Spherical Radius of Spherical Sector using the formula - 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).
What are the other ways to Calculate Spherical Radius of Spherical Sector?
Here are the different ways to Calculate Spherical Radius of Spherical Sector-
  • 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))OpenImg
  • 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)OpenImg
  • Spherical Radius of Spherical Sector=sqrt((3*Volume of Spherical Sector)/(2*pi*Spherical Cap Height of Spherical Sector))OpenImg
Can the Spherical Radius of Spherical Sector be negative?
No, the Spherical Radius of Spherical Sector, measured in Length cannot be negative.
Which unit is used to measure Spherical Radius of Spherical Sector?
Spherical Radius of Spherical Sector is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Spherical Radius of Spherical Sector can be measured.
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