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Circumradius of Pentagon given diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = 0.5257*Diagonal
rc = 0.5257*d
This formula uses 1 Variables
Variables Used
Diagonal - A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Diagonal: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = 0.5257*d --> 0.5257*8
Evaluating ... ...
rc = 4.2056
STEP 3: Convert Result to Output's Unit
4.2056 Meter --> No Conversion Required
FINAL ANSWER
4.2056 Meter <-- Circumradius
(Calculation completed in 00.015 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 diagonal Formula

circumradius = 0.5257*Diagonal
rc = 0.5257*d

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 diagonal?

Circumradius of Pentagon given diagonal calculator uses circumradius = 0.5257*Diagonal to calculate the Circumradius, Circumradius of Pentagon given diagonal is defined as the line connecting the center and a point on circumcircle of pentagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Pentagon given diagonal using this online calculator? To use this online calculator for Circumradius of Pentagon given diagonal, enter Diagonal (d) and hit the calculate button. Here is how the Circumradius of Pentagon given diagonal calculation can be explained with given input values -> 4.2056 = 0.5257*8.

FAQ

What is Circumradius of Pentagon given diagonal?
Circumradius of Pentagon given diagonal is defined as the line connecting the center and a point on circumcircle of pentagon and is represented as rc = 0.5257*d or circumradius = 0.5257*Diagonal. A diagonal is a straight line joining two opposite corners of a square, rectangle, or another straight-sided shape.
How to calculate Circumradius of Pentagon given diagonal?
Circumradius of Pentagon given diagonal is defined as the line connecting the center and a point on circumcircle of pentagon is calculated using circumradius = 0.5257*Diagonal. To calculate Circumradius of Pentagon given diagonal, you need Diagonal (d). With our tool, you need to enter the respective value for Diagonal 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 Diagonal. 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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