Radius of Circle from Arc Angle and Area Calculator

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✖Area of Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. The most common sector of a circle is a semi-circle which represents half of a circle.ⓘ Area of Sector [Asec]			+10% -10%
✖Subtended Angle in radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θ]			+10% -10%

✖The radius of circle is the distance from center of circle to the the circle.ⓘ Radius of Circle from Arc Angle and Area [r]

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Radius of Circle from Arc Angle and Area

Pramod Singh

Indian Institute of Technology (IIT), Guwahati

Pramod Singh has created this Calculator and 0+ more calculators!

Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has verified this Calculator and 100+ more calculators!

< 6 Other formulas that you can solve using the same Inputs

Bend Allowance

Bend Allowance=Subtended Angle in Radians*(Radius+Stretch Factor*Width) GO

Area of Sector When Radius and Angle in Radians are Given

Area of Sector=(Subtended Angle in Radians*(radius of circle)^2)/2 GO

Sector angle from radius and Sector Area

Subtended Angle in Radians=(Area of Sector*2)/(radius of circle^2) GO

Radius of Circle from Arc Angle and Arc Length

radius of circle=Arc Length/Subtended Angle in Radians GO

Arc length from Radius and Arc Angle

Arc Length=radius of circle*Subtended Angle in Radians GO

Area of a Circle when area of sector is given

Area of Circle=Area of Sector*(360/Central Angle) GO

< 1 Other formulas that calculate the same Output

Radius of Circle from Arc Angle and Arc Length

radius of circle=Arc Length/Subtended Angle in Radians GO

Radius of Circle from Arc Angle and Area Formula

radius of circle=sqrt((Area of Sector*2)/Subtended Angle in Radians)

More formulas

Area of a Circle when radius is given GO

Area of a Circle when diameter is given GO

Circumference of Circle GO

Area of a Circle when circumference is given GO

Area of a Circle when area of sector is given GO

Area of a quarter circle when area of circle is given GO

Circumference of the circle when the area of the circle is given GO

Area of the quadrant GO

Area of the ring GO

Area of a segment GO

Perimeter of a quadrant GO

Perimeter of a sector when angle subtended by an arc at center is given GO

Perimeter of a segment GO

Perimeter of a ring GO

Area of Sector When Radius and Angle in Radians are Given GO

Radius of Circle from Arc Angle and Arc Length GO

Area of Sector when Radius and Angle in Degrees are Given GO

Sector angle from radius and Arc length GO

Sector angle from radius and Sector Area GO

Arc length from Radius and Arc Angle GO

Sector Area from Arc length and Radius GO

Arc Angle from Arc length and Radius GO

What is Sector of Circle?

Sector of Circle is the portion of circle enclosed between two radii of circle. It divides the circle into two regions, namely Major and Minor Sector. The smaller area is known as the Minor Sector, whereas the region having a greater area is known as Major Sector.

How to Calculate Radius of Circle from Arc Angle and Area?

Radius of Circle from Arc Angle and Area calculator uses radius of circle=sqrt((Area of Sector*2)/Subtended Angle in Radians) to calculate the radius of circle, Radius of Circle from Arc Angle and Area can be found by taking square root of division of twice the area of sector by arc angle. radius of circle and is denoted by r symbol.

How to calculate Radius of Circle from Arc Angle and Area using this online calculator? To use this online calculator for Radius of Circle from Arc Angle and Area, enter Area of Sector (Asec) and Subtended Angle in Radians (θ) and hit the calculate button. Here is how the Radius of Circle from Arc Angle and Area calculation can be explained with given input values -> 2.04448 = sqrt((0.0376*2)/179.908747671112).

FAQ

What is Radius of Circle from Arc Angle and Area?

Radius of Circle from Arc Angle and Area can be found by taking square root of division of twice the area of sector by arc angle and is represented as r=sqrt((Asec*2)/θ) or radius of circle=sqrt((Area of Sector*2)/Subtended Angle in Radians). Area of Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. The most common sector of a circle is a semi-circle which represents half of a circle and Subtended Angle in radians is the angle made by something from a given viewpoint.

How to calculate Radius of Circle from Arc Angle and Area?

Radius of Circle from Arc Angle and Area can be found by taking square root of division of twice the area of sector by arc angle is calculated using radius of circle=sqrt((Area of Sector*2)/Subtended Angle in Radians). To calculate Radius of Circle from Arc Angle and Area, you need Area of Sector (Asec) and Subtended Angle in Radians (θ). With our tool, you need to enter the respective value for Area of Sector and Subtended Angle in Radians 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 radius of circle?

In this formula, radius of circle uses Area of Sector and Subtended Angle in Radians. We can use 1 other way(s) to calculate the same, which is/are as follows -

radius of circle=Arc Length/Subtended Angle in Radians

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