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Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle. Check FAQs
lc=2⋅r2-lPerpendicular2
lc - Chord Length of Circle?r - Radius of Circle?lPerpendicular - Perpendicular Length to Chord of Circle?

Chord Length of Circle given Perpendicular Length Example

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Here is how the Chord Length of Circle given Perpendicular Length equation looks like with Values.

Here is how the Chord Length of Circle given Perpendicular Length equation looks like with Units.

Here is how the Chord Length of Circle given Perpendicular Length equation looks like.

8Edit=2⋅5Edit2-3Edit2
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Chord Length of Circle given Perpendicular Length Solution

Follow our step by step solution on how to calculate Chord Length of Circle given Perpendicular Length?

FIRST Step Consider the formula
lc=2⋅r2-lPerpendicular2
Next Step Substitute values of Variables
∴ lc=2⋅5m2-3m2
Next Step Prepare to Evaluate
∴ lc=2⋅52-32
LAST Step Evaluate
∴lc=8m

Chord Length of Circle given Perpendicular Length Formula Elements

Variables
Functions
Chord Length of Circle
Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.
Symbol: lc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Chord Length of CircleOpen Variable
Radius of Circle
Radius of Circle is the length of any line segment joining the center and any point on the Circle.
Symbol: r
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Radius of CircleOpen Variable
Perpendicular Length to Chord of Circle
Perpendicular Length to Chord of Circle is the shortest distance from the center to the midpoint of a chord of a Circle.
Symbol: lPerpendicular
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Perpendicular Length to Chord of CircleOpen Variable
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Chord Length of Circle

​Go Chord Length of Circle
lc=2⋅r⋅sin(∠Central2)
​Go Chord Length of Circle given Diameter and Central Angle
lc=D⋅sin(∠Central2)
​Go Chord Length of Circle given Inscribed Angle
lc=2⋅r⋅sin(∠Inscribed)
​Go Chord Length of Circle given Diameter and Inscribed Angle
lc=D⋅sin(∠Inscribed)

How to Evaluate Chord Length of Circle given Perpendicular Length?

Chord Length of Circle given Perpendicular Length evaluator uses Chord Length of Circle = 2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2) to evaluate the Chord Length of Circle, Chord Length of Circle given Perpendicular Length formula is defined as the length of a line segment connecting any two points on the Circle and calculated using the perpendicular length from the center to the chord of the Circle. Chord Length of Circle is denoted by lc symbol.

How to evaluate Chord Length of Circle given Perpendicular Length using this online evaluator? To use this online evaluator for Chord Length of Circle given Perpendicular Length, enter Radius of Circle (r) & Perpendicular Length to Chord of Circle (lPerpendicular) and hit the calculate button.

FAQs on Chord Length of Circle given Perpendicular Length

What is the formula to find Chord Length of Circle given Perpendicular Length?
The formula of Chord Length of Circle given Perpendicular Length is expressed as Chord Length of Circle = 2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2). Here is an example- 8 = 2*sqrt(5^2-3^2).
How to calculate Chord Length of Circle given Perpendicular Length?
With Radius of Circle (r) & Perpendicular Length to Chord of Circle (lPerpendicular) we can find Chord Length of Circle given Perpendicular Length using the formula - Chord Length of Circle = 2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Chord Length of Circle?
Here are the different ways to Calculate Chord Length of Circle-
  • Chord Length of Circle=2*Radius of Circle*sin(Central Angle of Circle/2)OpenImg
  • Chord Length of Circle=Diameter of Circle*sin(Central Angle of Circle/2)OpenImg
  • Chord Length of Circle=2*Radius of Circle*sin(Inscribed Angle of Circle)OpenImg
Can the Chord Length of Circle given Perpendicular Length be negative?
No, the Chord Length of Circle given Perpendicular Length, measured in Length cannot be negative.
Which unit is used to measure Chord Length of Circle given Perpendicular Length?
Chord Length of Circle given Perpendicular Length is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Chord Length of Circle given Perpendicular Length can be measured.
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