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Insphere Radius of Disphenoid is the radius of the sphere that is contained by the Disphenoid in such a way that all the faces just touching the sphere. Check FAQs
ri=34(Sa2+Sb2-Sc2)(Sa2-Sb2+Sc2)(-Sa2+Sb2+Sc2)72P8(P8-Sa)(P8-Sb)(P8-Sc)
ri - Insphere Radius of Disphenoid?Sa - Side A of Disphenoid?Sb - Side B of Disphenoid?Sc - Side C of Disphenoid?P - Perimeter of Disphenoid?

Insphere Radius of Disphenoid Example

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With units
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Here is how the Insphere Radius of Disphenoid equation looks like with Values.

Here is how the Insphere Radius of Disphenoid equation looks like with Units.

Here is how the Insphere Radius of Disphenoid equation looks like.

2.5406Edit=34(10Edit2+13Edit2-15Edit2)(10Edit2-13Edit2+15Edit2)(-10Edit2+13Edit2+15Edit2)72152Edit8(152Edit8-10Edit)(152Edit8-13Edit)(152Edit8-15Edit)
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Insphere Radius of Disphenoid Solution

Follow our step by step solution on how to calculate Insphere Radius of Disphenoid?

FIRST Step Consider the formula
ri=34(Sa2+Sb2-Sc2)(Sa2-Sb2+Sc2)(-Sa2+Sb2+Sc2)72P8(P8-Sa)(P8-Sb)(P8-Sc)
Next Step Substitute values of Variables
ri=34(10m2+13m2-15m2)(10m2-13m2+15m2)(-10m2+13m2+15m2)72152m8(152m8-10m)(152m8-13m)(152m8-15m)
Next Step Prepare to Evaluate
ri=34(102+132-152)(102-132+152)(-102+132+152)721528(1528-10)(1528-13)(1528-15)
Next Step Evaluate
ri=2.54064186990436m
LAST Step Rounding Answer
ri=2.5406m

Insphere Radius of Disphenoid Formula Elements

Variables
Functions
Insphere Radius of Disphenoid
Insphere Radius of Disphenoid is the radius of the sphere that is contained by the Disphenoid in such a way that all the faces just touching the sphere.
Symbol: ri
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Side A of Disphenoid
Side A of Disphenoid is the length of the first edge of any of the congruent triangular faces of the Disphenoid.
Symbol: Sa
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Side B of Disphenoid
Side B of Disphenoid is the length of the second edge of any of the congruent triangular faces of the Disphenoid.
Symbol: Sb
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Side C of Disphenoid
Side C of Disphenoid is the length of the third edge of any of the congruent triangular faces of the Disphenoid.
Symbol: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Perimeter of Disphenoid
Perimeter of Disphenoid is the total distance around the edge of the Disphenoid.
Symbol: P
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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 Insphere Radius of Disphenoid

​Go Insphere Radius of Disphenoid given Volume and Total Surface Area
ri=3VTSA

How to Evaluate Insphere Radius of Disphenoid?

Insphere Radius of Disphenoid evaluator uses Insphere Radius of Disphenoid = 3/4*sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72)/sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)) to evaluate the Insphere Radius of Disphenoid, The Insphere Radius of Disphenoid formula is defined as the radius of the sphere that is contained by the Disphenoid in such a way that all the faces just touching the sphere. Insphere Radius of Disphenoid is denoted by ri symbol.

How to evaluate Insphere Radius of Disphenoid using this online evaluator? To use this online evaluator for Insphere Radius of Disphenoid, enter Side A of Disphenoid (Sa), Side B of Disphenoid (Sb), Side C of Disphenoid (Sc) & Perimeter of Disphenoid (P) and hit the calculate button.

FAQs on Insphere Radius of Disphenoid

What is the formula to find Insphere Radius of Disphenoid?
The formula of Insphere Radius of Disphenoid is expressed as Insphere Radius of Disphenoid = 3/4*sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72)/sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)). Here is an example- 2.540642 = 3/4*sqrt(((10^2+13^2-15^2)*(10^2-13^2+15^2)*(-10^2+13^2+15^2))/72)/sqrt(152/8*(152/8-10)*(152/8-13)*(152/8-15)).
How to calculate Insphere Radius of Disphenoid?
With Side A of Disphenoid (Sa), Side B of Disphenoid (Sb), Side C of Disphenoid (Sc) & Perimeter of Disphenoid (P) we can find Insphere Radius of Disphenoid using the formula - Insphere Radius of Disphenoid = 3/4*sqrt(((Side A of Disphenoid^2+Side B of Disphenoid^2-Side C of Disphenoid^2)*(Side A of Disphenoid^2-Side B of Disphenoid^2+Side C of Disphenoid^2)*(-Side A of Disphenoid^2+Side B of Disphenoid^2+Side C of Disphenoid^2))/72)/sqrt(Perimeter of Disphenoid/8*(Perimeter of Disphenoid/8-Side A of Disphenoid)*(Perimeter of Disphenoid/8-Side B of Disphenoid)*(Perimeter of Disphenoid/8-Side C of Disphenoid)). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Insphere Radius of Disphenoid?
Here are the different ways to Calculate Insphere Radius of Disphenoid-
  • Insphere Radius of Disphenoid=(3*Volume of Disphenoid)/Total Surface Area of DisphenoidOpenImg
Can the Insphere Radius of Disphenoid be negative?
No, the Insphere Radius of Disphenoid, measured in Length cannot be negative.
Which unit is used to measure Insphere Radius of Disphenoid?
Insphere Radius of Disphenoid is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Disphenoid can be measured.
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