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Inscribed Angle of Circle given Area of Sector 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{A}{r^{2}}

∠_Inscribed - Inscribed Angle of Circle?A - Area of Circular Sector?r - Radius of Circular Sector?π - Archimedes' constant?

Inscribed Angle of Circle given Area of Sector Example

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

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

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

159.3735 = 3.1416 - \frac{9}{5^{2}}

159.3735° = 3.1416 - \frac{9m²}{{5m}^{2}}

159.3735 = 3.1416 - \frac{9}{5^{2}}

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Inscribed Angle of Circle given Area of Sector Solution

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

FIRST Step Consider the formula

∠ Inscribed = π - \frac{A}{r^{2}}

Next Step Substitute values of Variables

∴

∠ Inscribed = π - \frac{9m²}{{5m}^{2}}

Next Step Substitute values of Constants

∴

∠ Inscribed = 3.1416 - \frac{9m²}{{5m}^{2}}

Next Step Prepare to Evaluate

∴

∠ Inscribed = 3.1416 - \frac{9}{5^{2}}

Next Step Evaluate

∴

∠ Inscribed = 2.78159265358979rad

Next Step Convert to Output's Unit

∴

∠ Inscribed = 159.37351937532°

LAST Step Rounding Answer

∴

∠ Inscribed = 159.3735°

Inscribed Angle of Circle given Area of Sector 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

Area of Circular Sector

Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circular Sector

Radius of Circular Sector

Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Sector

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 in Circular Sector category

Go Diameter of Circle given Area of Sector

D = 2 \cdot \sqrt{\frac{2 \cdot A}{∠ Sector}}

Go Radius of Circle given Area of Sector

r = \sqrt{\frac{2 \cdot A}{∠ Sector}}

Go Area of Circle given Area of Sector

A Circle = \frac{2 \cdot π \cdot A}{∠ Sector}

How to Evaluate Inscribed Angle of Circle given Area of Sector?

Inscribed Angle of Circle given Area of Sector evaluator uses Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2 to evaluate the Inscribed Angle of Circle, Inscribed Angle of Circle given Area of Sector formula is defined as the angle subtended by a given arc of the Circle with any point on the arc and calculated using the area of a sector of the Circle. Inscribed Angle of Circle is denoted by ∠_Inscribed symbol.

How to evaluate Inscribed Angle of Circle given Area of Sector using this online evaluator? To use this online evaluator for Inscribed Angle of Circle given Area of Sector, enter Area of Circular Sector (A) & Radius of Circular Sector (r) and hit the calculate button.

FAQs on Inscribed Angle of Circle given Area of Sector

What is the formula to find Inscribed Angle of Circle given Area of Sector?

The formula of Inscribed Angle of Circle given Area of Sector is expressed as Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2. Here is an example- 9131.43 = pi-9/5^2.

How to calculate Inscribed Angle of Circle given Area of Sector?

With Area of Circular Sector (A) & Radius of Circular Sector (r) we can find Inscribed Angle of Circle given Area of Sector using the formula - Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2. This formula also uses Archimedes' constant .

Can the Inscribed Angle of Circle given Area of Sector be negative?

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

Which unit is used to measure Inscribed Angle of Circle given Area of Sector?

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

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