Inscribed Angle of Circle Calculator

✖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]

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✖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 [∠_Inscribed]

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Formula

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Inscribed Angle of Circle

Formula

`"∠"_{"Inscribed"} = pi-"∠"_{"Central"}/2`

Example

`"95°"=pi-"170°"/2`

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Inscribed Angle of Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inscribed Angle of Circle = pi-Central Angle of Circle/2
∠_Inscribed = pi-∠_Central/2
This formula uses 1 Constants, 2 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.
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

Central Angle of Circle: 170 Degree --> 2.9670597283898 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Inscribed = pi-∠_Central/2 --> pi-2.9670597283898/2

Evaluating ... ...

∠_Inscribed = 1.65806278939489

STEP 3: Convert Result to Output's Unit

1.65806278939489 Radian -->95.0000000000339 Degree (Check conversion here)

FINAL ANSWER

95.0000000000339 ≈ 95 Degree <-- Inscribed Angle of Circle

(Calculation completed in 00.020 seconds)

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Credits

Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 3 Inscribed Angle of Circle Calculators

Inscribed Angle of Circle given Arc Length

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

Inscribed Angle of Circle given other Inscribed Angle

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

Inscribed Angle of Circle

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

Inscribed Angle of Circle Formula

Inscribed Angle of Circle = pi-Central Angle of Circle/2
∠_Inscribed = pi-∠_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.

How to Calculate Inscribed Angle of Circle?

Inscribed Angle of Circle calculator uses Inscribed Angle of Circle = pi-Central Angle of Circle/2 to calculate the Inscribed Angle of Circle, The Inscribed Angle of Circle formula is defined as the angle subtended by a given arc of the Circle with any point on the arc. Inscribed Angle of Circle is denoted by ∠_Inscribed symbol.

How to calculate Inscribed Angle of Circle using this online calculator? To use this online calculator for Inscribed Angle of Circle, enter Central Angle of Circle (∠_Central) and hit the calculate button. Here is how the Inscribed Angle of Circle calculation can be explained with given input values -> 5443.099 = pi-2.9670597283898/2.

FAQ

What is Inscribed Angle of Circle?

The Inscribed Angle of Circle formula is defined as the angle subtended by a given arc of the Circle with any point on the arc and is represented as ∠_Inscribed = pi-∠_Central/2 or Inscribed Angle of Circle = pi-Central Angle of Circle/2. 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 Inscribed Angle of Circle?

The Inscribed Angle of Circle formula is defined as the angle subtended by a given arc of the Circle with any point on the arc is calculated using Inscribed Angle of Circle = pi-Central Angle of Circle/2. To calculate Inscribed Angle of Circle, you need Central Angle of Circle (∠_Central). With our tool, you need to enter the respective value for 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 Inscribed Angle of Circle?

In this formula, Inscribed Angle of Circle uses Central Angle 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-Arc Length of Circle/(2*Radius of Circle)

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