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Circumradius of Pentagon given height and inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Height-Inradius
rc = h-ri
This formula uses 2 Variables
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
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
Height: 12 Meter --> 12 Meter No Conversion Required
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = h-ri --> 12-10
Evaluating ... ...
rc = 2
STEP 3: Convert Result to Output's Unit
2 Meter --> No Conversion Required
FINAL ANSWER
2 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 height and inradius Formula

circumradius = Height-Inradius
rc = h-ri

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 height and inradius?

Circumradius of Pentagon given height and inradius calculator uses circumradius = Height-Inradius to calculate the Circumradius, Circumradius of Pentagon given height and 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 height and inradius using this online calculator? To use this online calculator for Circumradius of Pentagon given height and inradius, enter Height (h) & Inradius (ri) and hit the calculate button. Here is how the Circumradius of Pentagon given height and inradius calculation can be explained with given input values -> 2 = 12-10.

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 circumcircle of pentagon and is represented as rc = h-ri or circumradius = Height-Inradius. Height is the distance between the lowest and highest points of a person standing upright & Inradius is defined as the radius of the circle which is inscribed inside the polygon.
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 circumcircle of pentagon is calculated using circumradius = Height-Inradius. To calculate Circumradius of Pentagon given height and inradius, you need Height (h) & Inradius (ri). With our tool, you need to enter the respective value for Height & 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 Height & 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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