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Circumradius of Pentagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (Inradius/0.809)
rc = (ri/0.809)
This formula uses 1 Variables
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (ri/0.809) --> (10/0.809)
Evaluating ... ...
rc = 12.3609394313968
STEP 3: Convert Result to Output's Unit
12.3609394313968 Meter --> No Conversion Required
FINAL ANSWER
12.3609394313968 Meter <-- Circumradius
(Calculation completed in 00.000 seconds)

8 Circumradius of Pentagon Calculators

Circumradius of Pentagon given height and central angle
circumradius = (Height)/(1+cos(Central Angle/2)) Go
Circumradius of Pentagon given inradius and central angle
circumradius = (Inradius)/(cos(Central Angle/2)) Go
Circumradius of Pentagon given side and central angle
circumradius = (Side)/(2*sin(Central Angle/2)) Go
Circumradius of Pentagon given height and inradius
circumradius = Height-Inradius Go
Circumradius of Pentagon given inradius
circumradius = (Inradius/0.809) Go
Circumradius of Pentagon given diagonal
circumradius = 0.5257*Diagonal Go
Circumradius of Pentagon given height
circumradius = (Height/1.809) Go
Circumradius of Pentagon given side
circumradius = (0.851*Side) Go

Circumradius of Pentagon given inradius Formula

circumradius = (Inradius/0.809)
rc = (ri/0.809)

What is circumcircle of pentagon?

A circle that passes through all the five vertices of the regular pentagon . This is the so called circumscribed circle or circumcircle of the regular pentagon

How to Calculate Circumradius of Pentagon given inradius?

Circumradius of Pentagon given inradius calculator uses circumradius = (Inradius/0.809) to calculate the Circumradius, Circumradius of Pentagon given inradius is defined as the line joining the center and a point on circumcircle of pentagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Pentagon given inradius using this online calculator? To use this online calculator for Circumradius of Pentagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Circumradius of Pentagon given inradius calculation can be explained with given input values -> 12.36094 = (10/0.809).

FAQ

What is Circumradius of Pentagon given inradius?
Circumradius of Pentagon given inradius is defined as the line joining the center and a point on circumcircle of pentagon and is represented as rc = (ri/0.809) or circumradius = (Inradius/0.809). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Circumradius of Pentagon given inradius?
Circumradius of Pentagon given inradius is defined as the line joining the center and a point on circumcircle of pentagon is calculated using circumradius = (Inradius/0.809). To calculate Circumradius of Pentagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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?
In this formula, Circumradius uses Inradius. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • circumradius = (Side)/(2*sin(Central Angle/2))
  • circumradius = (Inradius)/(cos(Central Angle/2))
  • circumradius = (0.851*Side)
  • circumradius = (Inradius/0.809)
  • circumradius = Height-Inradius
  • circumradius = (Height)/(1+cos(Central Angle/2))
  • circumradius = (Height/1.809)
  • circumradius = 0.5257*Diagonal
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