Sector Area from Arc length and Radius Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	Circle ↺
Circle	Sector of a circle ↺

✖Arc length is the distance between two points along a section of a curve.ⓘ Arc Length [s]			+10% -10%
✖The radius of circle is the distance from center of circle to the the circle.ⓘ radius of circle [r]			+10% -10%

✖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.ⓘ Sector Area from Arc length and Radius [Asec]

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Credits

Pramod Singh

Indian Institute of Technology (IIT), Guwahati

Pramod Singh has created this Calculator and 10+ more calculators!

Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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

Sector Area from Arc length and Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

area_of_sector = (Arc Length*radius of circle)/2
Asec = (s*r)/2
This formula uses 2 Variables

Variables Used

Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
radius of circle - The radius of circle is the distance from center of circle to the the circle. (Measured in Centimeter)

STEP 1: Convert Input(s) to Base Unit

Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
radius of circle: 10 Centimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Asec = (s*r)/2 --> (2.4*0.1)/2

Evaluating ... ...

Asec = 0.12

STEP 3: Convert Result to Output's Unit

0.12 Square Meter -->1200 Square Centimeter (Check conversion here)

FINAL ANSWER

1200 Square Centimeter <-- Area of Sector

(Calculation completed in 00.015 seconds)

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< 10+ Sector of a circle Calculators

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

perimeter = ((Theta/360)*2*pi*Radius)+(2*Radius) Go

Area of Sector when Radius and Angle in Degrees are Given

area_of_sector = (pi*Subtended Angle in Degrees*(radius of circle^2))/360 Go

Area of the sector when radius and central angle are given

area_of_sector = (pi*(Radius)^2/360)*Central Angle Go

Area of sector when radius and central angle are given

area = (pi*Radius^2*Central Angle)/360 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

Sector angle from radius and Arc length

subtended_angle_in_radians = Arc Length/radius of circle Go

Sector Area from Arc length and Radius

area_of_sector = (Arc Length*radius of circle)/2 Go

Area of sector when length of arc and radius are given

area = (Radius*Arc Length)/2 Go

Area of a Sector

area = (Radius*Arc Length)/2 Go

Sector Area from Arc length and Radius Formula

area_of_sector = (Arc Length*radius of circle)/2
Asec = (s*r)/2

What is Sector Area?

A Sector or circle sector, is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector and the area enclosed by the sector is called Sector area of circle.

How to Calculate Sector Area from Arc length and Radius?

Sector Area from Arc length and Radius calculator uses area_of_sector = (Arc Length*radius of circle)/2 to calculate the Area of Sector, The Sector Area from Arc length and Radius is the area of the circle enclosed between two radii of circle and the arc. Area of Sector and is denoted by Asec symbol.

How to calculate Sector Area from Arc length and Radius using this online calculator? To use this online calculator for Sector Area from Arc length and Radius, enter Arc Length (s) and radius of circle (r) and hit the calculate button. Here is how the Sector Area from Arc length and Radius calculation can be explained with given input values -> 1200 = (2.4*0.1)/2.

FAQ

What is Sector Area from Arc length and Radius?

The Sector Area from Arc length and Radius is the area of the circle enclosed between two radii of circle and the arc and is represented as Asec = (s*r)/2 or area_of_sector = (Arc Length*radius of circle)/2. Arc length is the distance between two points along a section of a curve and The radius of circle is the distance from center of circle to the the circle.

How to calculate Sector Area from Arc length and Radius?

The Sector Area from Arc length and Radius is the area of the circle enclosed between two radii of circle and the arc is calculated using area_of_sector = (Arc Length*radius of circle)/2. To calculate Sector Area from Arc length and Radius, you need Arc Length (s) and radius of circle (r). With our tool, you need to enter the respective value for Arc Length and radius of circle 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 Area of Sector?

In this formula, Area of Sector uses Arc Length and radius of circle. We can use 10 other way(s) to calculate the same, which is/are as follows -

perimeter = ((Theta/360)*2*pi*Radius)+(2*Radius)
subtended_angle_in_radians = Arc Length/radius of circle
subtended_angle_in_radians = (Area of Sector*2)/(radius of circle^2)
area_of_sector = (Arc Length*radius of circle)/2
area_of_sector = (pi*Subtended Angle in Degrees*(radius of circle^2))/360
area_of_sector = (Subtended Angle in Radians*(radius of circle)^2)/2
area = (Radius*Arc Length)/2
area = (pi*Radius^2*Central Angle)/360
area_of_sector = (pi*(Radius)^2/360)*Central Angle
area = (Radius*Arc Length)/2

Where is the Sector Area from Arc length and Radius calculator used?

Among many, Sector Area from Arc length and Radius calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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