Chord Length of Circle given Diameter and Central Angle Calculator

✖Diameter of Circle is the length of the chord passing through the center of the Circle.ⓘ Diameter of Circle [D]			+10% -10%
✖Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.ⓘ Central Angle of Circle [∠_Central]			+10% -10%

✖Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.ⓘ Chord Length of Circle given Diameter and Central Angle [l_c]

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Chord Length of Circle given Diameter and Central Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2)
l_c = D*sin(∠_Central/2)
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Chord Length of Circle - (Measured in Meter) - Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.
Diameter of Circle - (Measured in Meter) - Diameter of Circle is the length of the chord passing through the center of the Circle.
Central Angle of Circle - (Measured in Radian) - Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.

STEP 1: Convert Input(s) to Base Unit

Diameter of Circle: 10 Meter --> 10 Meter No Conversion Required
Central Angle of Circle: 170 Degree --> 2.9670597283898 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_c = D*sin(∠_Central/2) --> 10*sin(2.9670597283898/2)

Evaluating ... ...

l_c = 9.96194698091721

STEP 3: Convert Result to Output's Unit

9.96194698091721 Meter --> No Conversion Required

FINAL ANSWER

9.96194698091721 ≈ 9.961947 Meter <-- Chord Length of Circle

(Calculation completed in 00.008 seconds)

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< Chord Length of Circle Calculators

Chord Length of Circle given Perpendicular Length

LaTeX Go Chord Length of Circle = 2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2)

Chord Length of Circle given Diameter and Central Angle

LaTeX Go Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2)

Chord Length of Circle given Inscribed Angle

LaTeX Go Chord Length of Circle = 2*Radius of Circle*sin(Inscribed Angle of Circle)

Chord Length of Circle

LaTeX Go Chord Length of Circle = 2*Radius of Circle*sin(Central Angle of Circle/2)

Chord Length of Circle given Diameter and Central Angle Formula

LaTeX Go

Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2)
l_c = D*sin(∠_Central/2)

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

What are the properties of chords?

If the chords are parallel to each other, then the length of the arc between them will be the same. Chords of the same length are equidistant from the center of the circle. The greater the length of the chord, more closer to the center of the circle.

How to Calculate Chord Length of Circle given Diameter and Central Angle?

Chord Length of Circle given Diameter and Central Angle calculator uses Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2) to calculate the Chord Length of Circle, Chord Length of Circle given Diameter and Central Angle formula is defined as the line segment that connects the two points of a Circle at a particular central angle and calculated using the diameter and central angle of the Circle. Chord Length of Circle is denoted by l_c symbol.

How to calculate Chord Length of Circle given Diameter and Central Angle using this online calculator? To use this online calculator for Chord Length of Circle given Diameter and Central Angle, enter Diameter of Circle (D) & Central Angle of Circle (∠_Central) and hit the calculate button. Here is how the Chord Length of Circle given Diameter and Central Angle calculation can be explained with given input values -> 9.961947 = 10*sin(2.9670597283898/2).

FAQ

What is Chord Length of Circle given Diameter and Central Angle?

Chord Length of Circle given Diameter and Central Angle formula is defined as the line segment that connects the two points of a Circle at a particular central angle and calculated using the diameter and central angle of the Circle and is represented as l_c = D*sin(∠_Central/2) or Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2). Diameter of Circle is the length of the chord passing through the center of the Circle & Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.

How to calculate Chord Length of Circle given Diameter and Central Angle?

Chord Length of Circle given Diameter and Central Angle formula is defined as the line segment that connects the two points of a Circle at a particular central angle and calculated using the diameter and central angle of the Circle is calculated using Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2). To calculate Chord Length of Circle given Diameter and Central Angle, you need Diameter of Circle (D) & Central Angle of Circle (∠_Central). With our tool, you need to enter the respective value for Diameter of Circle & Central Angle of Circle 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 of Circle?

In this formula, Chord Length of Circle uses Diameter of Circle & Central Angle of Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Chord Length of Circle = 2*Radius of Circle*sin(Central Angle of Circle/2)
Chord Length of Circle = 2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2)
Chord Length of Circle = 2*Radius of Circle*sin(Inscribed Angle of Circle)

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