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Long edge of pentagonal trapezohedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_b = ((sqrt(5)+1)/2)*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))
b = ((sqrt(5)+1)/2)*(sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = ((sqrt(5)+1)/2)*(sqrt(A/((sqrt((25/2)*(5+sqrt(5))))))) --> ((sqrt(5)+1)/2)*(sqrt(50/((sqrt((25/2)*(5+sqrt(5)))))))
Evaluating ... ...
b = 3.70996215677623
STEP 3: Convert Result to Output's Unit
3.70996215677623 Meter --> No Conversion Required
FINAL ANSWER
3.70996215677623 Meter <-- Side B
(Calculation completed in 01.984 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Second side of kite given both diagonals
side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2) Go
Side of a parallelogram when diagonal and the other side is given
side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2 Go
Side b of parallelogram when diagonal and sides are given
side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2) Go
Leg b of right triangle given radius & other leg of circumscribed circle of a right triangle
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go
side b of rectangle given radius of the circumscribed circle of a rectangle
side_b = sqrt(((4)*(Radius)^2)-(Side A)^2) Go
Side of parallelogram BC from height measured at right angle form other side
side_b = Height of column1/sin(Angle B) Go
Side of parallelogram BC from height measured at right angle form that side
side_b = Height/sin(Angle A) Go
Side of the parallelogram when the height and sine of an angle are given
side_b = Height/sin(Theta) Go
Second side of kite given perimeter and other side
side_b = (Perimeter/2)-Side A Go
Side of the parallelogram when the area and height of the parallelogram are given
side_b = Area/Height Go

Long edge of pentagonal trapezohedron given surface area Formula

side_b = ((sqrt(5)+1)/2)*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5)))))))
b = ((sqrt(5)+1)/2)*(sqrt(A/((sqrt((25/2)*(5+sqrt(5)))))))

What is a trapezohedron?

The n-gonal trapezohedron, antidipyramid, antibipyramid, or deltohedron is the dual polyhedron of an n-gonal antiprism. The 2n faces of the n-trapezohedron are congruent and symmetrically staggered; they are called twisted kites. With a higher symmetry, its 2n faces are kites (also called deltoids). The n-gon part of the name does not refer to faces here but to two arrangements of vertices around an axis of symmetry. The dual n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism.

How to Calculate Long edge of pentagonal trapezohedron given surface area?

Long edge of pentagonal trapezohedron given surface area calculator uses side_b = ((sqrt(5)+1)/2)*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))) to calculate the Side B, The Long edge of pentagonal trapezohedron given surface area formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge. Side B and is denoted by b symbol.

How to calculate Long edge of pentagonal trapezohedron given surface area using this online calculator? To use this online calculator for Long edge of pentagonal trapezohedron given surface area, enter Area (A) and hit the calculate button. Here is how the Long edge of pentagonal trapezohedron given surface area calculation can be explained with given input values -> 3.709962 = ((sqrt(5)+1)/2)*(sqrt(50/((sqrt((25/2)*(5+sqrt(5))))))).

FAQ

What is Long edge of pentagonal trapezohedron given surface area?
The Long edge of pentagonal trapezohedron given surface area formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge and is represented as b = ((sqrt(5)+1)/2)*(sqrt(A/((sqrt((25/2)*(5+sqrt(5))))))) or side_b = ((sqrt(5)+1)/2)*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Long edge of pentagonal trapezohedron given surface area?
The Long edge of pentagonal trapezohedron given surface area formula is defined as a straight line joining two adjacent vertices of pentagonal trapezohedron. Where, a =trapezohedron pentagonal edge is calculated using side_b = ((sqrt(5)+1)/2)*(sqrt(Area/((sqrt((25/2)*(5+sqrt(5))))))). To calculate Long edge of pentagonal trapezohedron given surface area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Side B?
In this formula, Side B uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B))
  • side_b = sqrt(2*(Diagonal 1)^2+2*(Diagonal 2)^2-4*(Side A)^2)/2
  • side_b = Height/sin(Theta)
  • side_b = Area/Height
  • side_b = Height/sin(Angle A)
  • side_b = Height of column1/sin(Angle B)
  • side_b = sqrt((Diagonal 1^2+Diagonal 2^2-2*Side A^2)/2)
  • side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
  • side_b = sqrt(((4)*(Radius)^2)-(Side A)^2)
  • side_b = sqrt(((Diagonal/2)^2)+(symmetry Diagonal-Distance from center to a point)^2)
  • side_b = (Perimeter/2)-Side A
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