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Radius of Spherical Segment Formula

GoRadius of Spherical Segment given Curved Surface Area Formula

GoRadius of Spherical Segment given Total Surface Area Formula

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Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded. Check FAQs

r = \sqrt{{r Base}^{2} + {(\frac{{r Base}^{2} - {r Top}^{2} - h^{2}}{2 \cdot h})}^{2}}

r - Radius of Spherical Segment?r_Base - Base Radius of Spherical Segment?r_Top - Top Radius of Spherical Segment?h - Height of Spherical Segment?

Radius of Spherical Segment Example

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

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

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

10.0603 = \sqrt{10^{2} + {(\frac{10^{2} - 8^{2} - 5^{2}}{2 \cdot 5})}^{2}}

10.0603m = \sqrt{{10m}^{2} + {(\frac{{10m}^{2} - {8m}^{2} - {5m}^{2}}{2 \cdot 5m})}^{2}}

10.0603 = \sqrt{10^{2} + {(\frac{10^{2} - 8^{2} - 5^{2}}{2 \cdot 5})}^{2}}

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Radius of Spherical Segment Solution

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

FIRST Step Consider the formula

r = \sqrt{{r Base}^{2} + {(\frac{{r Base}^{2} - {r Top}^{2} - h^{2}}{2 \cdot h})}^{2}}

Next Step Substitute values of Variables

∴

r = \sqrt{{10m}^{2} + {(\frac{{10m}^{2} - {8m}^{2} - {5m}^{2}}{2 \cdot 5m})}^{2}}

Next Step Prepare to Evaluate

∴

r = \sqrt{10^{2} + {(\frac{10^{2} - 8^{2} - 5^{2}}{2 \cdot 5})}^{2}}

Next Step Evaluate

∴

r = 10.0603180864225m

LAST Step Rounding Answer

∴

r = 10.0603m

Radius of Spherical Segment Formula Elements

Variables

Functions

Radius of Spherical Segment

Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Spherical Segment

Base Radius of Spherical Segment

Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Spherical Segment

Top Radius of Spherical Segment

Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Spherical Segment

Height of Spherical Segment

Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Segment

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Radius of Spherical Segment

Go Radius of Spherical Segment given Curved Surface Area

r = \frac{CSA}{2 \cdot π \cdot h}

Go Radius of Spherical Segment given Total Surface Area

r = \frac{TSA - (π \cdot ({r Base}^{2} + {r Top}^{2}))}{2 \cdot π \cdot h}

How to Evaluate Radius of Spherical Segment?

Radius of Spherical Segment evaluator uses Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2) to evaluate the Radius of Spherical Segment, The Radius of Spherical Segment formula is defined as the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded. Radius of Spherical Segment is denoted by r symbol.

How to evaluate Radius of Spherical Segment using this online evaluator? To use this online evaluator for Radius of Spherical Segment, enter Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Height of Spherical Segment (h) and hit the calculate button.

FAQs on Radius of Spherical Segment

What is the formula to find Radius of Spherical Segment?

The formula of Radius of Spherical Segment is expressed as Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2). Here is an example- 10.06032 = sqrt(10^2+((10^2-8^2-5^2)/(2*5))^2).

How to calculate Radius of Spherical Segment?

With Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Height of Spherical Segment (h) we can find Radius of Spherical Segment using the formula - Radius of Spherical Segment = sqrt(Base Radius of Spherical Segment^2+((Base Radius of Spherical Segment^2-Top Radius of Spherical Segment^2-Height of Spherical Segment^2)/(2*Height of Spherical Segment))^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Spherical Segment?

Here are the different ways to Calculate Radius of Spherical Segment-

Radius of Spherical Segment=Curved Surface Area of Spherical Segment/(2*pi*Height of Spherical Segment)
Radius of Spherical Segment=(Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Height of Spherical Segment)

Can the Radius of Spherical Segment be negative?

No, the Radius of Spherical Segment, measured in Length cannot be negative.

Which unit is used to measure Radius of Spherical Segment?

Radius of Spherical Segment is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Spherical Segment can be measured.

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Radius of Spherical Segment Formula

​GoRadius of Spherical Segment given Curved Surface Area Formula

​GoRadius of Spherical Segment given Total Surface Area Formula

Radius of Spherical Segment Example

Radius of Spherical Segment Solution

Radius of Spherical Segment Formula Elements

Other Formulas to find Radius of Spherical Segment

How to Evaluate Radius of Spherical Segment?

FAQs on Radius of Spherical Segment

Variable Name

GoRadius of Spherical Segment given Curved Surface Area Formula

GoRadius of Spherical Segment given Total Surface Area Formula