Angle formed at the centre when area of sector is given Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D-Geometry	Circle ↺
Circle

✖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%
✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%

✖A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.ⓘ Angle formed at the centre when area of sector is given [θ]

⎘ Copy

👎 Report Issue!

👍 Share Now!

You are here:

Home »
Math »
Geometry »
2D Geometry »
Circle »
Angle formed at the centre when area of sector is given

Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has verified this Calculator and 400+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Cone

Total Surface Area=pi*Radius*(Radius+sqrt(Radius^2+Height^2)) GO

Lateral Surface Area of a Cone

Lateral Surface Area=pi*Radius*sqrt(Radius^2+Height^2) GO

Surface Area of a Capsule

Surface Area=2*pi*Radius*(2*Radius+Side) GO

Volume of a Capsule

Volume=pi*(Radius)^2*((4/3)*Radius+Side) GO

Volume of a Circular Cone

Volume=(1/3)*pi*(Radius)^2*Height GO

Base Surface Area of a Cone

Base Surface Area=pi*Radius^2 GO

Top Surface Area of a Cylinder

Top Surface Area=pi*Radius^2 GO

Volume of a Circular Cylinder

Volume=pi*(Radius)^2*Height GO

Area of a Circle when radius is given

Area of Circle=pi*Radius^2 GO

Volume of a Hemisphere

Volume=(2/3)*pi*(Radius)^3 GO

Volume of a Sphere

Volume=(4/3)*pi*(Radius)^3 GO

< 7 Other formulas that calculate the same Output

Central angle when radius and length for major arc are given

Central Angle=Length of Major Arc/Radius GO

Central angle when radius and length for minor arc are given

Central Angle=Length of Minor Arc/Radius GO

Central angle of n-sided polygon

Central Angle=(2*pi)/Number of sides GO

Angle formed at circumference when angle formed at centre subtended by same arc is known

Central Angle=2*Inscribed Angle GO

Central angle when measure of arc intercepted is given

Central Angle=1*Arc Length GO

Angle subtended by given arc at centre

Central Angle=Arc Length GO

Angle formed at centre when angle formed at other point on circumference is known

Central Angle=2*Angle A GO

Angle formed at the centre when area of sector is given Formula

Central Angle=(Area of Sector*2)/(Radius^2)
θ=(Asec*2)/(r^2)

More formulas

Area of a Sector GO

Inscribed angle of the circle when the central angle of the circle is given GO

Inscribed angle when other inscribed angle is given GO

Arc length of the circle when central angle and radius are given GO

Area of the sector when radius and central angle are given GO

Area of sector when radius and central angle are given GO

Angle formed at centre when angle formed at other point on circumference is known GO

Angle formed at circumference when angle formed at centre subtended by same arc is known GO

Angle of intersection between two circles GO

Angle inscribed by given arc GO

Angle subtended by given arc at centre GO

Angle subtended to exterior of circle by given arc GO

Angle subtended inside a circle by given intersecting lines and arcs GO

Angle formed by an intersecting tangent and chord GO

What is the real-life application of circles?

One application of circles in science is in the design of particle separators. The Large Hadron Collider in Europe is a tunnel in the shape of a circle. This shape helps force the particles to move. NASA uses pi ― the ratio of the circumference to the diameter ― in several applications.

How to Calculate Angle formed at the centre when area of sector is given?

Angle formed at the centre when area of sector is given calculator uses Central Angle=(Area of Sector*2)/(Radius^2) to calculate the Central Angle, The Angle formed at the centre when area of sector is given formula is defined as the quotient when the product of area of the given sector and 2 is divided by the square of the radius of the circle. Central Angle and is denoted by θ symbol.

How to calculate Angle formed at the centre when area of sector is given using this online calculator? To use this online calculator for Angle formed at the centre when area of sector is given, enter Area of Sector (Asec) and Radius (r) and hit the calculate button. Here is how the Angle formed at the centre when area of sector is given calculation can be explained with given input values -> 132.9828 = (0.0376*2)/(0.18^2).

FAQ

What is Angle formed at the centre when area of sector is given?

The Angle formed at the centre when area of sector is given formula is defined as the quotient when the product of area of the given sector and 2 is divided by the square of the radius of the circle and is represented as θ=(Asec*2)/(r^2) or Central Angle=(Area of Sector*2)/(Radius^2). 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 Radius is a radial line from the focus to any point of a curve.

How to calculate Angle formed at the centre when area of sector is given?

The Angle formed at the centre when area of sector is given formula is defined as the quotient when the product of area of the given sector and 2 is divided by the square of the radius of the circle is calculated using Central Angle=(Area of Sector*2)/(Radius^2). To calculate Angle formed at the centre when area of sector is given, you need Area of Sector (Asec) and Radius (r). With our tool, you need to enter the respective value for Area of Sector and Radius 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 Central Angle?

In this formula, Central Angle uses Area of Sector and Radius. We can use 7 other way(s) to calculate the same, which is/are as follows -

Central Angle=Length of Major Arc/Radius
Central Angle=Length of Minor Arc/Radius
Central Angle=1*Arc Length
Central Angle=2*Angle A
Central Angle=2*Inscribed Angle
Central Angle=(2*pi)/Number of sides
Central Angle=Arc Length

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!