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Indian Institute of Technology (IIT), Guwahati
Pramod Singh has created this Calculator and 10+ more calculators!
National Institute of Technology (NIT), Jamshedpur
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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)

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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