Inscribed Angle of Circle given Area of Sector Calculator

✖Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.ⓘ Area of Circular Sector [A]			+10% -10%
✖Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.ⓘ Radius of Circular Sector [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 Area of Sector [∠_Inscribed]

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Inscribed Angle of Circle given Area of Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2
∠_Inscribed = pi-A/r^2
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.
Area of Circular Sector - (Measured in Square Meter) - Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.
Radius of Circular Sector - (Measured in Meter) - Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

STEP 1: Convert Input(s) to Base Unit

Area of Circular Sector: 9 Square Meter --> 9 Square Meter No Conversion Required
Radius of Circular Sector: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Inscribed = pi-A/r^2 --> pi-9/5^2

Evaluating ... ...

∠_Inscribed = 2.78159265358979

STEP 3: Convert Result to Output's Unit

2.78159265358979 Radian -->159.37351937532 Degree (Check conversion here)

FINAL ANSWER

159.37351937532 ≈ 159.3735 Degree <-- Inscribed Angle of Circle

(Calculation completed in 00.020 seconds)

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Indian Institute of Technology (IIT), Roorkee

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< Circular Sector Calculators

Area of Circle given Area of Sector

LaTeX Go Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector

Radius of Circle given Area of Sector

LaTeX Go Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector)

Inscribed Angle of Circle given Area of Sector

LaTeX Go Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2

Diameter of Circle given Area of Sector

LaTeX Go Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector)

Inscribed Angle of Circle given Area of Sector Formula

LaTeX Go

Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2
∠_Inscribed = pi-A/r^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 given Area of Sector?

Inscribed Angle of Circle given Area of Sector calculator uses Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2 to calculate 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 calculate Inscribed Angle of Circle given Area of Sector using this online calculator? To use this online calculator 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. Here is how the Inscribed Angle of Circle given Area of Sector calculation can be explained with given input values -> 9131.43 = pi-9/5^2.

FAQ

What is Inscribed Angle of Circle given Area of Sector?

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 and is represented as ∠_Inscribed = pi-A/r^2 or Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2. Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector & Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

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

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 is calculated using Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2. To calculate Inscribed Angle of Circle given Area of Sector, you need Area of Circular Sector (A) & Radius of Circular Sector (r). With our tool, you need to enter the respective value for Area of Circular Sector & Radius of Circular Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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