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Circumradius of Decagon given height and central angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Height/(2*tan((18*pi/180)))
rc = h/(2*tan((18*pi/180)))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = h/(2*tan((18*pi/180))) --> 12/(2*tan((18*pi/180)))
Evaluating ... ...
rc = 18.4661012230515
STEP 3: Convert Result to Output's Unit
18.4661012230515 Meter --> No Conversion Required
FINAL ANSWER
18.4661012230515 Meter <-- Circumradius
(Calculation completed in 00.015 seconds)

10+ Circumradius of Decagon Calculators

Circumradius of Decagon given area
radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across three sides
radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across two sides
radius = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across four sides
radius = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given diagonal across five sides
radius = ((Diagonal across five sides/((1+sqrt(5))))/2)*(1+sqrt(5)) Go
Circumradius of Decagon given height and central angle
circumradius = Height/(2*tan((18*pi/180))) Go
Circumradius of Decagon given angle and side
radius = Side/(2*sin(Angle A/2)) Go
Circumradius of Decagon given perimeter
radius = ((Perimeter/10)/2)*(1+sqrt(5)) Go
Circumradius of Decagon
radius = (Side/2)*(1+sqrt(5)) Go
Circumradius of Decagon given width
circumradius = Width/2 Go

Circumradius of Decagon given height and central angle Formula

circumradius = Height/(2*tan((18*pi/180)))
rc = h/(2*tan((18*pi/180)))

What is a decagon

Decagon is a polygon with ten sides and ten vertices. A decagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex decagon has none of its interior angles greater than 180°. To the contrary, a concave decagon (or polygon) has one or more of its interior angles greater than 180°. A decagon is called regular when its sides are equal and also its interior angles are equal.

How to Calculate Circumradius of Decagon given height and central angle?

Circumradius of Decagon given height and central angle calculator uses circumradius = Height/(2*tan((18*pi/180))) to calculate the Circumradius, The Circumradius of Decagon given height and central angle formula is defined by the formula Rc = h / 2 * tan (θ / 2 ) where Rc is the circumradius h is the height of the decagon θ is the central angle which is 36 for a decagon. Circumradius is denoted by rc symbol.

How to calculate Circumradius of Decagon given height and central angle using this online calculator? To use this online calculator for Circumradius of Decagon given height and central angle, enter Height (h) and hit the calculate button. Here is how the Circumradius of Decagon given height and central angle calculation can be explained with given input values -> 18.4661 = 12/(2*tan((18*pi/180))).

FAQ

What is Circumradius of Decagon given height and central angle?
The Circumradius of Decagon given height and central angle formula is defined by the formula Rc = h / 2 * tan (θ / 2 ) where Rc is the circumradius h is the height of the decagon θ is the central angle which is 36 for a decagon and is represented as rc = h/(2*tan((18*pi/180))) or circumradius = Height/(2*tan((18*pi/180))). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Circumradius of Decagon given height and central angle?
The Circumradius of Decagon given height and central angle formula is defined by the formula Rc = h / 2 * tan (θ / 2 ) where Rc is the circumradius h is the height of the decagon θ is the central angle which is 36 for a decagon is calculated using circumradius = Height/(2*tan((18*pi/180))). To calculate Circumradius of Decagon given height and central angle, you need Height (h). With our tool, you need to enter the respective value for Height 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. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • radius = Side/(2*sin(Angle A/2))
  • circumradius = Height/(2*tan((18*pi/180)))
  • circumradius = Width/2
  • radius = (Side/2)*(1+sqrt(5))
  • radius = ((Diagonal across five sides/((1+sqrt(5))))/2)*(1+sqrt(5))
  • radius = ((Diagonal across four sides/(sqrt(5+2*sqrt(5))))/2)*(1+sqrt(5))
  • radius = (((2*Diagonal across three sides)/(sqrt(14+6*sqrt(5))))/2)*(1+sqrt(5))
  • radius = (((2*Diagonal across two sides)/(sqrt(10+2*sqrt(5))))/2)*(1+sqrt(5))
  • radius = ((Perimeter/10)/2)*(1+sqrt(5))
  • radius = ((sqrt((2*Area)/(5*sqrt(5+2*sqrt(5)))))/2)*(1+sqrt(5))
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