Circumradius of Pentagon given Height and Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon
rc = h-ri
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
rc = h-ri --> 15-7
Evaluating ... ...
rc = 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)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

16 Circumradius of Pentagon Calculators

Circumradius of Pentagon given Area
Go Circumradius of Pentagon = sqrt(50+(10*sqrt(5)))/10*sqrt((4*Area of Pentagon)/sqrt(25+(10*sqrt(5))))
Circumradius of Pentagon given Inradius
Go Circumradius of Pentagon = (Inradius of Pentagon)/(sqrt(25+(10*sqrt(5)))/sqrt(50+(10*sqrt(5))))
Circumradius of Pentagon given Height
Go Circumradius of Pentagon = Height of Pentagon/(5*(sqrt(5+(2*sqrt(5)))/sqrt(50+(10*sqrt(5)))))
Circumradius of Pentagon given Edge Length using Interior Angle
Go Circumradius of Pentagon = (Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))
Circumradius of Pentagon given Width
Go Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))
Circumradius of Pentagon given Area using Central Angle
Go Circumradius of Pentagon = sqrt((Area of Pentagon*2)/(sin(2*pi/5)*5))
Circumradius of Pentagon given Area using Interior Angle
Go Circumradius of Pentagon = sqrt((2*Area of Pentagon)/(5*sin(3/5*pi)))
Circumradius of Pentagon
Go Circumradius of Pentagon = Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))
Circumradius of Pentagon given Perimeter
Go Circumradius of Pentagon = Perimeter of Pentagon/50*sqrt(50+(10*sqrt(5)))
Circumradius of Pentagon given Edge Length using Central Angle
Go Circumradius of Pentagon = (Edge Length of Pentagon)/(2*sin(pi/5))
Circumradius of Pentagon given Diagonal
Go Circumradius of Pentagon = Diagonal of Pentagon*sqrt((5-sqrt(5))/10)
Circumradius of Pentagon given Inradius using Interior Angle
Go Circumradius of Pentagon = Inradius of Pentagon/(1/2-cos(3/5*pi))
Circumradius of Pentagon given Height using Interior Angle
Go Circumradius of Pentagon = Height of Pentagon/(3/2-cos(3/5*pi))
Circumradius of Pentagon given Height using Central Angle
Go Circumradius of Pentagon = (Height of Pentagon)/(1+cos(pi/5))
Circumradius of Pentagon given Inradius using Central Angle
Go Circumradius of Pentagon = Inradius of Pentagon/(cos(pi/5))
Circumradius of Pentagon given Height and Inradius
Go Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon

9 Radius of Pentagon Calculators

Circumradius of Pentagon given Edge Length using Interior Angle
Go Circumradius of Pentagon = (Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))
Inradius of Pentagon given Edge Length using Interior Angle
Go Inradius of Pentagon = ((1/2-cos(3/5*pi))^2*Edge Length of Pentagon)/sin(3/5*pi)
Circumradius of Pentagon
Go Circumradius of Pentagon = Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))
Inradius of Pentagon
Go Inradius of Pentagon = Edge Length of Pentagon/10*sqrt(25+(10*sqrt(5)))
Circumradius of Pentagon given Edge Length using Central Angle
Go Circumradius of Pentagon = (Edge Length of Pentagon)/(2*sin(pi/5))
Inradius of Pentagon given Edge Length using Central Angle
Go Inradius of Pentagon = (Edge Length of Pentagon)/(2*tan(pi/5))
Inradius of Pentagon given Area and Edge Length
Go Inradius of Pentagon = (2*Area of Pentagon)/(5*Edge Length of Pentagon)
Circumradius of Pentagon given Height and Inradius
Go Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon
Inradius of Pentagon given Circumradius and Height
Go Inradius of Pentagon = Height of Pentagon-Circumradius of Pentagon

Circumradius of Pentagon given Height and Inradius Formula

Circumradius of Pentagon = Height of Pentagon-Inradius of Pentagon
rc = h-ri

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 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 of Pentagon (h) & Inradius of Pentagon (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 -> 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 rc = h-ri 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 (ri). 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 18 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)))
  • Circumradius of Pentagon = Inradius of Pentagon/(cos(pi/5))
  • Circumradius of Pentagon = (Height of Pentagon)/(1+cos(pi/5))
  • Circumradius of Pentagon = Height of Pentagon/(5*(sqrt(5+(2*sqrt(5)))/sqrt(50+(10*sqrt(5)))))
  • Circumradius of Pentagon = Diagonal of Pentagon*sqrt((5-sqrt(5))/10)
  • Circumradius of Pentagon = sqrt((Area of Pentagon*2)/(sin(2*pi/5)*5))
  • Circumradius of Pentagon = sqrt(50+(10*sqrt(5)))/10*sqrt((4*Area of Pentagon)/sqrt(25+(10*sqrt(5))))
  • Circumradius of Pentagon = Perimeter of Pentagon/50*sqrt(50+(10*sqrt(5)))
  • Circumradius of Pentagon = Width of Pentagon*sqrt(50+(10*sqrt(5)))/(5*(1+sqrt(5)))
  • Circumradius of Pentagon = sqrt((2*Area of Pentagon)/(5*sin(3/5*pi)))
  • Circumradius of Pentagon = (Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))
  • Circumradius of Pentagon = Inradius of Pentagon/(1/2-cos(3/5*pi))
  • Circumradius of Pentagon = Height of Pentagon/(3/2-cos(3/5*pi))
  • Circumradius of Pentagon = Edge Length of Pentagon/10*sqrt(50+(10*sqrt(5)))
  • Circumradius of Pentagon = (Edge Length of Pentagon)/(2*sin(pi/5))
  • Circumradius of Pentagon = (Edge Length of Pentagon*(1/2-cos(3/5*pi)))/(sin(3/5*pi))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!