Total Surface Area of Octahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Octahedron [r_c]

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✖Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.ⓘ Total Surface Area of Octahedron given Circumsphere Radius [TSA]

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Total Surface Area of Octahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2
TSA = 4*sqrt(3)*r_c^2
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Total Surface Area of Octahedron - (Measured in Square Meter) - Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.
Circumsphere Radius of Octahedron - (Measured in Meter) - Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Octahedron: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 4*sqrt(3)*r_c^2 --> 4*sqrt(3)*7^2

Evaluating ... ...

TSA = 339.4819582835

STEP 3: Convert Result to Output's Unit

339.4819582835 Square Meter --> No Conversion Required

FINAL ANSWER

339.4819582835 ≈ 339.482 Square Meter <-- Total Surface Area of Octahedron

(Calculation completed in 00.020 seconds)

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St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Total Surface Area of Octahedron Calculators

Total Surface Area of Octahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Midsphere Radius

LaTeX Go Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Insphere Radius

LaTeX Go Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2

Total Surface Area of Octahedron

LaTeX Go Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2

< Total Surface Area of Octahedron Calculators

Total Surface Area of Octahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Midsphere Radius

LaTeX Go Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Space Diagonal

LaTeX Go Total Surface Area of Octahedron = sqrt(3)*Space Diagonal of Octahedron^2

Total Surface Area of Octahedron

LaTeX Go Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2

Total Surface Area of Octahedron given Circumsphere Radius Formula

LaTeX Go

Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2
TSA = 4*sqrt(3)*r_c^2

What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Total Surface Area of Octahedron given Circumsphere Radius?

Total Surface Area of Octahedron given Circumsphere Radius calculator uses Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2 to calculate the Total Surface Area of Octahedron, Total Surface Area of Octahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron, and calculated using the circumsphere radius of the Octahedron. Total Surface Area of Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Octahedron given Circumsphere Radius, enter Circumsphere Radius of Octahedron (r_c) and hit the calculate button. Here is how the Total Surface Area of Octahedron given Circumsphere Radius calculation can be explained with given input values -> 339.482 = 4*sqrt(3)*7^2.

FAQ

What is Total Surface Area of Octahedron given Circumsphere Radius?

Total Surface Area of Octahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron, and calculated using the circumsphere radius of the Octahedron and is represented as TSA = 4*sqrt(3)*r_c^2 or Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2. Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

How to calculate Total Surface Area of Octahedron given Circumsphere Radius?

Total Surface Area of Octahedron given Circumsphere Radius formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron, and calculated using the circumsphere radius of the Octahedron is calculated using Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2. To calculate Total Surface Area of Octahedron given Circumsphere Radius, you need Circumsphere Radius of Octahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Octahedron 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 Total Surface Area of Octahedron?

In this formula, Total Surface Area of Octahedron uses Circumsphere Radius of Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2
Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2
Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2

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