FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Inscribed Angle of Circle Formula

GoInscribed Angle of Circle given other Inscribed Angle Formula

GoInscribed Angle of Circle given Arc Length Formula

Fx Copy

LaTeX Copy

Inscribed Angle of Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle. Check FAQs

∠ Inscribed = π - \frac{∠ Central}{2}

∠_Inscribed - Inscribed Angle of Circle?∠_Central - Central Angle of Circle?π - Archimedes' constant?

Inscribed Angle of Circle Example

With values

With units

Only example

Here is how the Inscribed Angle of Circle equation looks like with Values.

Here is how the Inscribed Angle of Circle equation looks like with Units.

Here is how the Inscribed Angle of Circle equation looks like.

95 = 3.1416 - \frac{170}{2}

95° = 3.1416 - \frac{170°}{2}

95 = 3.1416 - \frac{170}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Inscribed Angle of Circle

Inscribed Angle of Circle Solution

Follow our step by step solution on how to calculate Inscribed Angle of Circle?

FIRST Step Consider the formula

∠ Inscribed = π - \frac{∠ Central}{2}

Next Step Substitute values of Variables

∴

∠ Inscribed = π - \frac{170°}{2}

Next Step Substitute values of Constants

∴

∠ Inscribed = 3.1416 - \frac{170°}{2}

Next Step Convert Units

∴

∠ Inscribed = 3.1416 - \frac{2.9671rad}{2}

Next Step Prepare to Evaluate

∴

∠ Inscribed = 3.1416 - \frac{2.9671}{2}

Next Step Evaluate

∴

∠ Inscribed = 1.65806278939489rad

Next Step Convert to Output's Unit

∴

∠ Inscribed = 95.0000000000339°

LAST Step Rounding Answer

∴

∠ Inscribed = 95°

Inscribed Angle of Circle Formula Elements

Variables

Constants

Inscribed Angle of Circle

Inscribed Angle of Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle.

Symbol: ∠_Inscribed

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Inscribed Angle of Circle

Central Angle of 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.

Symbol: ∠_Central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle of Circle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Inscribed Angle of Circle

Go Inscribed Angle of Circle given other Inscribed Angle

∠ Inscribed = π - ∠ Inscribed2

Go Inscribed Angle of Circle given Arc Length

∠ Inscribed = π - \frac{l Arc}{2 \cdot r}

How to Evaluate Inscribed Angle of Circle?

Inscribed Angle of Circle evaluator uses Inscribed Angle of Circle = pi-Central Angle of Circle/2 to evaluate 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 evaluate Inscribed Angle of Circle using this online evaluator? To use this online evaluator for Inscribed Angle of Circle, enter Central Angle of Circle (∠_Central) and hit the calculate button.

FAQs on Inscribed Angle of Circle

What is the formula to find Inscribed Angle of Circle?

The formula of Inscribed Angle of Circle is expressed as Inscribed Angle of Circle = pi-Central Angle of Circle/2. Here is an example- 5443.099 = pi-2.9670597283898/2.

How to calculate Inscribed Angle of Circle?

With Central Angle of Circle (∠_Central) we can find Inscribed Angle of Circle using the formula - Inscribed Angle of Circle = pi-Central Angle of Circle/2. This formula also uses Archimedes' constant .

What are the other ways to Calculate Inscribed Angle of Circle?

Here are the different ways to Calculate Inscribed Angle of Circle-

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

Can the Inscribed Angle of Circle be negative?

No, the Inscribed Angle of Circle, measured in Angle cannot be negative.

Which unit is used to measure Inscribed Angle of Circle?

Inscribed Angle of Circle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Inscribed Angle of Circle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!