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Area of a Circle when area of sector is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
area_of_circle = Area of Sector*(360/Central Angle)
A = Asec*(360/θ)
This formula uses 2 Variables
Variables Used
Area of Sector - 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. (Measured in Square Centimeter)
Central Angle - 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. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Area of Sector: 376 Square Centimeter --> 0.0376 Square Meter (Check conversion here)
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Asec*(360/θ) --> 0.0376*(360/0.785398163397301)
Evaluating ... ...
A = 17.2345704775384
STEP 3: Convert Result to Output's Unit
17.2345704775384 Square Meter --> No Conversion Required
FINAL ANSWER
17.2345704775384 Square Meter <-- Area of Circle
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Arc length of the circle when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Length of arc when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Radius of Circle from Arc Angle and Area
radius_of_circle = sqrt((Area of Sector*2)/Subtended Angle in Radians) Go
Area of the sector when radius and central angle are given
area_of_sector = (pi*(Radius)^2/360)*Central Angle Go
Length of a chord when radius and central angle are given
chord_length = 2*Radius*sin(Central Angle/2) Go
Area of sector when radius and central angle are given
area = (pi*Radius^2*Central Angle)/360 Go
Sector angle from radius and Sector Area
subtended_angle_in_radians = (Area of Sector*2)/(radius of circle^2) Go
Radius of circle when area of sector and angle are given
radius = (2*Area of Sector/Central Angle)^0.5 Go
Angle formed at the centre when area of sector is given
central_angle = (Area of Sector*2)/(Radius^2) Go
Inscribed angle of the circle when the central angle of the circle is given
inscribed_angle = Central Angle/2 Go
Value of inscribed angle when central angle is given
inscribed_angle = Central Angle/2 Go

4 Other formulas that calculate the same Output

Area of a Circle when diameter is given
area_of_circle = (pi/4)*Diameter^2 Go
Area of a Circle when radius is given
area_of_circle = pi*Radius^2 Go
Area of circle given area of sector with angle 120 degrees
area_of_circle = 3*Area of Sector Go
Area of circle when area of quadrant is given
area_of_circle = 4*Area Go

Area of a Circle when area of sector is given Formula

area_of_circle = Area of Sector*(360/Central Angle)
A = Asec*(360/θ)

What is the area of a circle when the area of the sector is given?

The area of a circle when the area of the sector is given is the region occupied by the circle in a two-dimensional plane of sector area Asec. Although often referred to as the area of a circle in informal contexts, strictly speaking, the term disk refers to the interior of the circle, while the circle is reserved for the boundary only, which is a curve and covers no area itself. Therefore, the area of a disk is the more precise phrase for the area enclosed by a circle.

How to Calculate Area of a Circle when area of sector is given?

Area of a Circle when area of sector is given calculator uses area_of_circle = Area of Sector*(360/Central Angle) to calculate the Area of Circle, The area of a circle when the area of the sector is given is the area enclosed by a circle. Area of Circle and is denoted by A symbol.

How to calculate Area of a Circle when area of sector is given using this online calculator? To use this online calculator for Area of a Circle when area of sector is given, enter Area of Sector (Asec) and Central Angle (θ) and hit the calculate button. Here is how the Area of a Circle when area of sector is given calculation can be explained with given input values -> 17.23457 = 0.0376*(360/0.785398163397301).

FAQ

What is Area of a Circle when area of sector is given?
The area of a circle when the area of the sector is given is the area enclosed by a circle and is represented as A = Asec*(360/θ) or area_of_circle = Area of Sector*(360/Central Angle). 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 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.
How to calculate Area of a Circle when area of sector is given?
The area of a circle when the area of the sector is given is the area enclosed by a circle is calculated using area_of_circle = Area of Sector*(360/Central Angle). To calculate Area of a Circle when area of sector is given, you need Area of Sector (Asec) and Central Angle (θ). With our tool, you need to enter the respective value for Area of Sector and Central Angle 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 Circle?
In this formula, Area of Circle uses Area of Sector and Central Angle. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • area_of_circle = pi*Radius^2
  • area_of_circle = (pi/4)*Diameter^2
  • area_of_circle = 4*Area
  • area_of_circle = 3*Area of Sector
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