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Area of cycloid given base length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = 3*pi*(Base Length/(2*pi))^2
A = 3*pi*(Tb/(2*pi))^2
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Length - Base Length in SCS Triangular Unit Hydrograph. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Base Length: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = 3*pi*(Tb/(2*pi))^2 --> 3*pi*(0.01/(2*pi))^2
Evaluating ... ...
A = 2.38732414637843E-05
STEP 3: Convert Result to Output's Unit
2.38732414637843E-05 Square Meter --> No Conversion Required
FINAL ANSWER
2.38732414637843E-05 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

5 Other formulas that you can solve using the same Inputs

Perimeter of cycloid given base length
perimeter = (Base Length/(2*pi))*(8+(2*pi)) Go
Arc length of cycloid given base length
arc_length = 8*(Base Length/(2*pi)) Go
Height of cycloid given base length
height = 2*(Base Length/(2*pi)) Go
Radius of circle of cycloid given base length
radius = Base Length/(2*pi) Go
Time of Peak when Base Length is Given
time_of_peak = Base Length/2.67 Go

11 Other formulas that calculate the same Output

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Area of a Rectangle when breadth and diagonal are given
area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2)) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Area of a Rhombus when diagonals are given
area = (Diagonal A*Diagonal B)/2 Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when diagonal is given
area = 1/2*(Diagonal)^2 Go
Area of a Square when side is given
area = (Side A)^2 Go

Area of cycloid given base length Formula

area = 3*pi*(Base Length/(2*pi))^2
A = 3*pi*(Tb/(2*pi))^2

What is a cycloid?

In geometry, a cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve. The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve does not depend on the object's starting position (the tautochrone curve).

How to Calculate Area of cycloid given base length?

Area of cycloid given base length calculator uses area = 3*pi*(Base Length/(2*pi))^2 to calculate the Area, The Area of cycloid given base length formula is defined as measure of the total area that the surface of the object occupies of a cycloid, where a = radius of cycloid, A = Area of cycloid. Area and is denoted by A symbol.

How to calculate Area of cycloid given base length using this online calculator? To use this online calculator for Area of cycloid given base length, enter Base Length (Tb) and hit the calculate button. Here is how the Area of cycloid given base length calculation can be explained with given input values -> 2.387E-5 = 3*pi*(0.01/(2*pi))^2.

FAQ

What is Area of cycloid given base length?
The Area of cycloid given base length formula is defined as measure of the total area that the surface of the object occupies of a cycloid, where a = radius of cycloid, A = Area of cycloid and is represented as A = 3*pi*(Tb/(2*pi))^2 or area = 3*pi*(Base Length/(2*pi))^2. Base Length in SCS Triangular Unit Hydrograph. .
How to calculate Area of cycloid given base length?
The Area of cycloid given base length formula is defined as measure of the total area that the surface of the object occupies of a cycloid, where a = radius of cycloid, A = Area of cycloid is calculated using area = 3*pi*(Base Length/(2*pi))^2. To calculate Area of cycloid given base length, you need Base Length (Tb). With our tool, you need to enter the respective value for Base Length 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 Area?
In this formula, Area uses Base Length. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • area = 1/2*Base*Height
  • area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4
  • area = Length*Breadth
  • area = Length*(sqrt((Diagonal)^2-(Length)^2))
  • area = Breadth*(sqrt((Diagonal)^2-(Breadth)^2))
  • area = (Side A)^2
  • area = 1/2*(Diagonal)^2
  • area = (Diagonal A*Diagonal B)/2
  • area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2))
  • area = Base*Height
  • area = ((Base A+Base B)/2)*Height
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