Inscribed Angle of Circle given Arc Length Calculator

✖Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.ⓘ Arc Length of Circle [l_Arc]			+10% -10%
✖Radius of Circle is the length of any line segment joining the center and any point on the Circle.ⓘ Radius of Circle [r]			+10% -10%

✖Inscribed Angle of Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle.ⓘ Inscribed Angle of Circle given Arc Length [∠_Inscribed]

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Inscribed Angle of Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle)
∠_Inscribed = pi-l_Arc/(2*r)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inscribed Angle of Circle - (Measured in Radian) - Inscribed Angle of Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle.
Arc Length of Circle - (Measured in Meter) - Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.
Radius of Circle - (Measured in Meter) - Radius of Circle is the length of any line segment joining the center and any point on the Circle.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Circle: 15 Meter --> 15 Meter No Conversion Required
Radius of Circle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Inscribed = pi-l_Arc/(2*r) --> pi-15/(2*5)

Evaluating ... ...

∠_Inscribed = 1.64159265358979

STEP 3: Convert Result to Output's Unit

1.64159265358979 Radian -->94.0563307303942 Degree (Check conversion here)

FINAL ANSWER

94.0563307303942 ≈ 94.05633 Degree <-- Inscribed Angle of Circle

(Calculation completed in 00.020 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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< Inscribed Angle of Circle Calculators

Inscribed Angle of Circle given Arc Length

LaTeX Go Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle)

Inscribed Angle of Circle given other Inscribed Angle

LaTeX Go Inscribed Angle of Circle = pi-Second Inscribed Angle of Circle

Inscribed Angle of Circle

LaTeX Go Inscribed Angle of Circle = pi-Central Angle of Circle/2

Inscribed Angle of Circle given Arc Length Formula

LaTeX Go

Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle)
∠_Inscribed = pi-l_Arc/(2*r)

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.

How to Calculate Inscribed Angle of Circle given Arc Length?

Inscribed Angle of Circle given Arc Length calculator uses Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle) to calculate the Inscribed Angle of Circle, The Inscribed Angle of Circle given Arc Length formula is defined as the angle subtended by a given arc of the Circle with any point on the arc and calculated using the arc length of the Circle. Inscribed Angle of Circle is denoted by ∠_Inscribed symbol.

How to calculate Inscribed Angle of Circle given Arc Length using this online calculator? To use this online calculator for Inscribed Angle of Circle given Arc Length, enter Arc Length of Circle (l_Arc) & Radius of Circle (r) and hit the calculate button. Here is how the Inscribed Angle of Circle given Arc Length calculation can be explained with given input values -> 5389.031 = pi-15/(2*5).

FAQ

What is Inscribed Angle of Circle given Arc Length?

The Inscribed Angle of Circle given Arc Length formula is defined as the angle subtended by a given arc of the Circle with any point on the arc and calculated using the arc length of the Circle and is represented as ∠_Inscribed = pi-l_Arc/(2*r) or Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle). Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle & Radius of Circle is the length of any line segment joining the center and any point on the Circle.

How to calculate Inscribed Angle of Circle given Arc Length?

The Inscribed Angle of Circle given Arc Length formula is defined as the angle subtended by a given arc of the Circle with any point on the arc and calculated using the arc length of the Circle is calculated using Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle). To calculate Inscribed Angle of Circle given Arc Length, you need Arc Length of Circle (l_Arc) & Radius of Circle (r). With our tool, you need to enter the respective value for Arc Length of Circle & Radius 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 Inscribed Angle of Circle?

In this formula, Inscribed Angle of Circle uses Arc Length of Circle & Radius of Circle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Inscribed Angle of Circle = pi-Second Inscribed Angle of Circle
Inscribed Angle of Circle = pi-Central Angle of Circle/2

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