Circumradius of Pentagon given Width Calculator

✖Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.ⓘ Width of Pentagon [w]

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✖The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.ⓘ Circumradius of Pentagon given Width [r_c]

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Circumradius of Pentagon given Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))
r_c = w*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))
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

Circumradius of Pentagon - (Measured in Meter) - The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.
Width of Pentagon - (Measured in Meter) - Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Width of Pentagon: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = w*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))) --> 16*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))

Evaluating ... ...

r_c = 8.41169779390614

STEP 3: Convert Result to Output's Unit

8.41169779390614 Meter --> No Conversion Required

FINAL ANSWER

8.41169779390614 ≈ 8.411698 Meter <-- Circumradius of Pentagon

(Calculation completed in 00.004 seconds)

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< Circumradius of Pentagon Calculators

Circumradius of Pentagon given Inradius

LaTeX Go Circumradius of Pentagon = (Inradius of Pentagon)/(sqrt(25+(10*sqrt(5)))/sqrt(50+(10*sqrt(5))))

Circumradius of Pentagon

LaTeX Go Circumradius of Pentagon = Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))

Circumradius of Pentagon given Edge Length using Central Angle

LaTeX Go Circumradius of Pentagon = (Edge Length of Pentagon)/(2*sin(pi/5))

Circumradius of Pentagon given Inradius using Central Angle

LaTeX Go Circumradius of Pentagon = Inradius of Pentagon/(cos(pi/5))

Circumradius of Pentagon given Width Formula

LaTeX Go

Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))
r_c = w*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))

What is Pentagon?

A Pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other. A self-intersecting regular pentagon is called a pentagram.
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How to Calculate Circumradius of Pentagon given Width?

Circumradius of Pentagon given Width calculator uses Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))) to calculate the Circumradius of Pentagon, The Circumradius of Pentagon given Width formula is defined as the line joining the center and a point on the circumcircle of the pentagon, calculated using width. Circumradius of Pentagon is denoted by r_c symbol.

How to calculate Circumradius of Pentagon given Width using this online calculator? To use this online calculator for Circumradius of Pentagon given Width, enter Width of Pentagon (w) and hit the calculate button. Here is how the Circumradius of Pentagon given Width calculation can be explained with given input values -> 8.411698 = 16*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))).

FAQ

What is Circumradius of Pentagon given Width?

The Circumradius of Pentagon given Width formula is defined as the line joining the center and a point on the circumcircle of the pentagon, calculated using width and is represented as r_c = w*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))) or Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))). Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.

How to calculate Circumradius of Pentagon given Width?

The Circumradius of Pentagon given Width formula is defined as the line joining the center and a point on the circumcircle of the pentagon, calculated using width is calculated using Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5))). To calculate Circumradius of Pentagon given Width, you need Width of Pentagon (w). With our tool, you need to enter the respective value for Width of Pentagon 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 Circumradius of Pentagon?

In this formula, Circumradius of Pentagon uses Width of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Pentagon = (Edge Length of Pentagon)/(2*sin(pi/5))
Circumradius of Pentagon = (Inradius of Pentagon)/(sqrt(25+(10*sqrt(5)))/sqrt(50+(10*sqrt(5))))
Circumradius of Pentagon = Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))

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