Circumradius of Pentagon given Height and Inradius Calculator

✖Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.ⓘ Height of Pentagon [h]			+10% -10%
✖The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.ⓘ Inradius of Pentagon [r_i]			+10% -10%

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

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Circumradius of Pentagon given Height and Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon
r_c = h-r_i
This formula uses 3 Variables

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.
Height of Pentagon - (Measured in Meter) - Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.
Inradius of Pentagon - (Measured in Meter) - The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagon: 15 Meter --> 15 Meter No Conversion Required
Inradius of Pentagon: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = h-r_i --> 15-7

Evaluating ... ...

r_c = 8

STEP 3: Convert Result to Output's Unit

8 Meter --> No Conversion Required

FINAL ANSWER

8 Meter <-- Circumradius of Pentagon

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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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))

< Radius of Pentagon Calculators

Circumradius of Pentagon given Edge Length using Interior Angle

LaTeX Go Circumradius of Pentagon = (Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))

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 Height and Inradius

LaTeX Go Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon

Circumradius of Pentagon given Height and Inradius Formula

LaTeX Go

Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon
r_c = h-r_i

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.

How to Calculate Circumradius of Pentagon given Height and Inradius?

Circumradius of Pentagon given Height and Inradius calculator uses Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon to calculate the Circumradius of Pentagon, Circumradius of Pentagon given Height and Inradius is defined as the line joining the center and a point on the circumcircle of the Pentagon, calculated using height and inradius. Circumradius of Pentagon is denoted by r_c symbol.

How to calculate Circumradius of Pentagon given Height and Inradius using this online calculator? To use this online calculator for Circumradius of Pentagon given Height and Inradius, enter Height of Pentagon (h) & Inradius of Pentagon (r_i) and hit the calculate button. Here is how the Circumradius of Pentagon given Height and Inradius calculation can be explained with given input values -> 8 = 15-7.

FAQ

What is Circumradius of Pentagon given Height and Inradius?

Circumradius of Pentagon given Height and Inradius is defined as the line joining the center and a point on the circumcircle of the Pentagon, calculated using height and inradius and is represented as r_c = h-r_i or Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon. Height of Pentagon is the distance between one side of Pentagon and its opposite vertex & The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

How to calculate Circumradius of Pentagon given Height and Inradius?

Circumradius of Pentagon given Height and Inradius is defined as the line joining the center and a point on the circumcircle of the Pentagon, calculated using height and inradius is calculated using Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon. To calculate Circumradius of Pentagon given Height and Inradius, you need Height of Pentagon (h) & Inradius of Pentagon (r_i). With our tool, you need to enter the respective value for Height of Pentagon & Inradius 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 Height of Pentagon & Inradius 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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