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Circumradius of Octagon given side and angle Calculator

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Geometry2D Geometry ↺
2D GeometryOctagon ↺
OctagonRadius of Octagon ↺
Radius of OctagonCircumradius of Octagon ↺
✖The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side [S]
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✖The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]
+10%
-10%
✖Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.ⓘ Circumradius of Octagon given side and angle [rc]
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Credits

Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1000+ more calculators!

Circumradius of Octagon given side and angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Side/(2*sin(Angle A/2))
rc = S/(2*sin(∠A/2))
This formula uses 1 Functions, 2 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Angle A - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = S/(2*sin(∠A/2)) --> 9/(2*sin(0.5235987755982/2))
Evaluating ... ...
rc = 17.3866648732064
STEP 3: Convert Result to Output's Unit
17.3866648732064 Meter --> No Conversion Required
FINAL ANSWER
17.3866648732064 Meter <-- Circumradius
(Calculation completed in 00.015 seconds)
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9 Circumradius of Octagon Calculators

Circumradius of Octagon given short diagonal
circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given area
circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given medium diagonal
circumradius = ((Medium diagonal/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given long diagonal
circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given inradius
circumradius = (((2*Inradius)/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given height
circumradius = ((Height/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given perimeter
circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon
circumradius = (Side/2)*sqrt(4+2*sqrt(2)) Go
Circumradius of Octagon given side and angle
circumradius = Side/(2*sin(Angle A/2)) Go

Circumradius of Octagon given side and angle Formula

circumradius = Side/(2*sin(Angle A/2))
rc = S/(2*sin(∠A/2))

What is an octagon?

Octagon is a polygon with eight sides and eight vertices. An octagon, like any other polygon, can be either convex or concave, as illustrated in the next figure. A convex octagon has none of its interior angles greater than 180°. To the contrary, a concave octagon (or polygon) has one or more of its interior angles greater than 180°

How to Calculate Circumradius of Octagon given side and angle?

Circumradius of Octagon given side and angle calculator uses circumradius = Side/(2*sin(Angle A/2)) to calculate the Circumradius, The Circumradius of Octagon given side and angle formula is defined as Rc=a/2*sin(θ/2) where a is side and θ is central angle of octagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Octagon given side and angle using this online calculator? To use this online calculator for Circumradius of Octagon given side and angle, enter Side (S) & Angle A (∠A) and hit the calculate button. Here is how the Circumradius of Octagon given side and angle calculation can be explained with given input values -> 17.38666 = 9/(2*sin(0.5235987755982/2)).

FAQ

What is Circumradius of Octagon given side and angle?
The Circumradius of Octagon given side and angle formula is defined as Rc=a/2*sin(θ/2) where a is side and θ is central angle of octagon and is represented as rc = S/(2*sin(∠A/2)) or circumradius = Side/(2*sin(Angle A/2)). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Circumradius of Octagon given side and angle?
The Circumradius of Octagon given side and angle formula is defined as Rc=a/2*sin(θ/2) where a is side and θ is central angle of octagon is calculated using circumradius = Side/(2*sin(Angle A/2)). To calculate Circumradius of Octagon given side and angle, you need Side (S) & Angle A (∠A). With our tool, you need to enter the respective value for Side & Angle A 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 Side & Angle A. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • circumradius = Side/(2*sin(Angle A/2))
  • circumradius = (Side/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Long diagonal/(4+2*sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Medium diagonal/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = (((Short diagonal/(sqrt(2+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Height/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((Perimeter/8)/2)*sqrt(4+2*sqrt(2))
  • circumradius = ((sqrt(Area/(2*(1+sqrt(2)))))/2)*sqrt(4+2*sqrt(2))
  • circumradius = (((2*Inradius)/(1+sqrt(2)))/2)*sqrt(4+2*sqrt(2))
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