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Inradius of octagon given circumradius and central angle Calculator

Category Math ↺
Math Geometry ↺
Geometry 2D Geometry ↺
2D-Geometry Octagon ↺
✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]
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✖The angle A is one of the angles of a triangle.ⓘ Angle A [∠A]
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✖Inradius is defined as the radius of the circle which is inscribed inside the polygon.ⓘ Inradius of octagon given circumradius and central angle [r]
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Mona Gladys
St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has created this Calculator and 500+ more calculators!
Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 100+ more calculators!

11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Cone
Total Surface Area=pi*Radius*(Radius+sqrt(Radius^2+Height^2)) GO
Lateral Surface Area of a Cone
Lateral Surface Area=pi*Radius*sqrt(Radius^2+Height^2) GO
Surface Area of a Capsule
Surface Area=2*pi*Radius*(2*Radius+Side) GO
Volume of a Capsule
Volume=pi*(Radius)^2*((4/3)*Radius+Side) GO
Volume of a Circular Cone
Volume=(1/3)*pi*(Radius)^2*Height GO
Base Surface Area of a Cone
Base Surface Area=pi*Radius^2 GO
Top Surface Area of a Cylinder
Top Surface Area=pi*Radius^2 GO
Volume of a Circular Cylinder
Volume=pi*(Radius)^2*Height GO
Area of a Circle when radius is given
Area of Circle=pi*Radius^2 GO
Volume of a Hemisphere
Volume=(2/3)*pi*(Radius)^3 GO
Volume of a Sphere
Volume=(4/3)*pi*(Radius)^3 GO

11 Other formulas that calculate the same Output

Inradius of a rhombus when diagonals are given
Inradius=(Diagonal 1*Diagonal 2)/(2*sqrt(Diagonal 1^2+Diagonal 2^2)) GO
Inradius of a rhombus when one diagonal and half-angle is given
Inradius=(Diagonal 1*sin(Half angle between sides))/2 GO
Inradius of a rhombus when area and angle is given
Inradius=sqrt(Area*sin(Angle Between Sides))/2 GO
Inradius of a rhombus when side and angle is given
Inradius=(Side*sin(Angle Between Sides))/2 GO
Inradius of a rhombus when diagonals and side are given
Inradius=(Diagonal 1*Diagonal 2)/(4*Side) GO
Inradius of a rhombus when area and side length is given
Inradius=Area/(2*Side) GO
Inradius of heptagon given circumradius
Inradius=0.901*Radius GO
Inradius of an ellipse
Inradius=Minor axis/2 GO
Inradius of heptagon given only side
Inradius=1.038*Side GO
Radius of the inscribed circle in trapezoid
Inradius=Height/2 GO
Inradius of a rhombus when height is given
Inradius=Height/2 GO

Inradius of octagon given circumradius and central angle Formula

Inradius=Radius*cos(Angle A/2)
r=r*cos(∠A/2)
More formulas
Circumradius of octagon given side and angle GO
Inradius of octagon given side and angle GO
Circumradius of octagon given side GO
Inradius of octagon given side GO
Inradius of octagon given circumradius GO
Area of octagon given side and inradius GO
Area of octagon given side GO
Area of octagon given only side GO
Perimeter of octagon GO
Height of octagon given inradius GO
Height of octagon given side GO
Width of octagon given inradius GO
Width of octagon given side GO

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 Inradius of octagon given circumradius and central angle?

Inradius of octagon given circumradius and central angle calculator uses Inradius=Radius*cos(Angle A/2) to calculate the Inradius, The Inradius of octagon given circumradius and central angle formula is defined as Ri=Rc*cos(θ/2) where Ri is inradius, Rc is circumradius and θ is central angle of octagon. Inradius and is denoted by r symbol.

How to calculate Inradius of octagon given circumradius and central angle using this online calculator? To use this online calculator for Inradius of octagon given circumradius and central angle, enter Radius (r) and Angle A (∠A) and hit the calculate button. Here is how the Inradius of octagon given circumradius and central angle calculation can be explained with given input values -> 0.173867 = 0.18*cos(0.5235987755982/2).

FAQ

What is Inradius of octagon given circumradius and central angle?
The Inradius of octagon given circumradius and central angle formula is defined as Ri=Rc*cos(θ/2) where Ri is inradius, Rc is circumradius and θ is central angle of octagon and is represented as r=r*cos(∠A/2) or Inradius=Radius*cos(Angle A/2). Radius is a radial line from the focus to any point of a curve and The angle A is one of the angles of a triangle.
How to calculate Inradius of octagon given circumradius and central angle?
The Inradius of octagon given circumradius and central angle formula is defined as Ri=Rc*cos(θ/2) where Ri is inradius, Rc is circumradius and θ is central angle of octagon is calculated using Inradius=Radius*cos(Angle A/2). To calculate Inradius of octagon given circumradius and central angle, you need Radius (r) and Angle A (∠A). With our tool, you need to enter the respective value for Radius and 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 Inradius?
In this formula, Inradius uses Radius and Angle A. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Inradius=Height/2
  • Inradius=Area/(2*Side)
  • Inradius=sqrt(Area*sin(Angle Between Sides))/2
  • Inradius=(Side*sin(Angle Between Sides))/2
  • Inradius=(Diagonal 1*sin(Half angle between sides))/2
  • Inradius=(Diagonal 1*Diagonal 2)/(2*sqrt(Diagonal 1^2+Diagonal 2^2))
  • Inradius=(Diagonal 1*Diagonal 2)/(4*Side)
  • Inradius=Minor axis/2
  • Inradius=Height/2
  • Inradius=1.038*Side
  • Inradius=0.901*Radius
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