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Chord length when radius and perpendicular distance are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2
l = sqrt(r^2-d^2)*2
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
Perpendicular Distance - The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
Perpendicular Distance: 3 Centimeter --> 0.03 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = sqrt(r^2-d^2)*2 --> sqrt(0.18^2-0.03^2)*2
Evaluating ... ...
l = 0.354964786985977
STEP 3: Convert Result to Output's Unit
0.354964786985977 Meter --> No Conversion Required
FINAL ANSWER
0.354964786985977 Meter <-- Chord Length
(Calculation completed in 00.017 seconds)

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
Volume of a Circular Cylinder
volume = 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
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

6 Other formulas that calculate the same Output

Length of the chord intercepted by the parabola y^2=4ax on the line y = mx + c
chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5) Go
Chord length for circulation developed on the airfoil
chord_length = Circulation/(pi*velocity of airfoil*sin(Angle of attack)) Go
Chord length for flat plate case
chord_length = (Reynolds number using chord length*static viscosity)/(Static velocity*Static density) Go
Length of a chord when radius and inscribed angle are given
chord_length = 2*Radius*sin(Inscribed Angle) Go
Length of a chord when radius and central angle are given
chord_length = 2*Radius*sin(Central Angle/2) Go
Chord Length when radius and angle are given
chord_length = sin(Angle A/2)*2*Radius Go

Chord length when radius and perpendicular distance are given Formula

chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2
l = sqrt(r^2-d^2)*2

What is Chord length when radius and perpendicular distance are given?

The chord length when radius and perpendicular distance are given of a circle is one of the ways to find the chord length of any circle. Chord length can be defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle which passes through the center of the circle.

How to Calculate Chord length when radius and perpendicular distance are given?

Chord length when radius and perpendicular distance are given calculator uses chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2 to calculate the Chord Length, Chord length when radius and perpendicular distance are given is the length of a line segment connecting any two points on the circumference of a circle with a given value for radius and perpendicular distance. Chord Length and is denoted by l symbol.

How to calculate Chord length when radius and perpendicular distance are given using this online calculator? To use this online calculator for Chord length when radius and perpendicular distance are given, enter Radius (r) and Perpendicular Distance (d) and hit the calculate button. Here is how the Chord length when radius and perpendicular distance are given calculation can be explained with given input values -> 0.354965 = sqrt(0.18^2-0.03^2)*2.

FAQ

What is Chord length when radius and perpendicular distance are given?
Chord length when radius and perpendicular distance are given is the length of a line segment connecting any two points on the circumference of a circle with a given value for radius and perpendicular distance and is represented as l = sqrt(r^2-d^2)*2 or chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2. Radius is a radial line from the focus to any point of a curve and The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.
How to calculate Chord length when radius and perpendicular distance are given?
Chord length when radius and perpendicular distance are given is the length of a line segment connecting any two points on the circumference of a circle with a given value for radius and perpendicular distance is calculated using chord_length = sqrt(Radius^2-Perpendicular Distance^2)*2. To calculate Chord length when radius and perpendicular distance are given, you need Radius (r) and Perpendicular Distance (d). With our tool, you need to enter the respective value for Radius and Perpendicular Distance 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 Chord Length?
In this formula, Chord Length uses Radius and Perpendicular Distance. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • chord_length = sin(Angle A/2)*2*Radius
  • chord_length = 2*Radius*sin(Central Angle/2)
  • chord_length = 2*Radius*sin(Inscribed Angle)
  • chord_length = (4/Slope of Line^2)*((Numerical Coefficient a)*(1+(Slope of Line^2))*(Numerical Coefficient a-(Slope of Line*Numerical Coefficient c)))^(0.5)
  • chord_length = Circulation/(pi*velocity of airfoil*sin(Angle of attack))
  • chord_length = (Reynolds number using chord length*static viscosity)/(Static velocity*Static density)
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