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Inscribed Angle of Circle given Arc Length Formula

GoInscribed Angle of Circle given other Inscribed Angle Formula

GoInscribed Angle of Circle Formula

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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. Check FAQs

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

∠_Inscribed - Inscribed Angle of Circle?l_Arc - Arc Length of Circle?r - Radius of Circle?π - Archimedes' constant?

Inscribed Angle of Circle given Arc Length Example

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

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

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

94.0563 = 3.1416 - \frac{15}{2 \cdot 5}

94.0563° = 3.1416 - \frac{15m}{2 \cdot 5m}

94.0563 = 3.1416 - \frac{15}{2 \cdot 5}

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Inscribed Angle of Circle given Arc Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Inscribed = π - \frac{15m}{2 \cdot 5m}

Next Step Substitute values of Constants

∴

∠ Inscribed = 3.1416 - \frac{15m}{2 \cdot 5m}

Next Step Prepare to Evaluate

∴

∠ Inscribed = 3.1416 - \frac{15}{2 \cdot 5}

Next Step Evaluate

∴

∠ Inscribed = 1.64159265358979rad

Next Step Convert to Output's Unit

∴

∠ Inscribed = 94.0563307303942°

LAST Step Rounding Answer

∴

∠ Inscribed = 94.0563°

Inscribed Angle of Circle given Arc Length 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

Arc Length 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.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Circle

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 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

∠ Inscribed = π - \frac{∠ Central}{2}

How to Evaluate Inscribed Angle of Circle given Arc Length?

Inscribed Angle of Circle given Arc Length evaluator uses Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle) to evaluate 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 evaluate Inscribed Angle of Circle given Arc Length using this online evaluator? To use this online evaluator for Inscribed Angle of Circle given Arc Length, enter Arc Length of Circle (l_Arc) & Radius of Circle (r) and hit the calculate button.

FAQs on Inscribed Angle of Circle given Arc Length

What is the formula to find Inscribed Angle of Circle given Arc Length?

The formula of Inscribed Angle of Circle given Arc Length is expressed as Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle). Here is an example- 5389.031 = pi-15/(2*5).

How to calculate Inscribed Angle of Circle given Arc Length?

With Arc Length of Circle (l_Arc) & Radius of Circle (r) we can find Inscribed Angle of Circle given Arc Length using the formula - Inscribed Angle of Circle = pi-Arc Length of Circle/(2*Radius of Circle). 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-Central Angle of Circle/2

Can the Inscribed Angle of Circle given Arc Length be negative?

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

Which unit is used to measure Inscribed Angle of Circle given Arc Length?

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

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