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Arc length of Circle given area and corresponding angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = (Area/pi)*Angle
s = (A/pi)*α
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
Angle - The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (A/pi)*α --> (50/pi)*3.1415926535892
Evaluating ... ...
s = 49.9999999999906
STEP 3: Convert Result to Output's Unit
49.9999999999906 Meter --> No Conversion Required
FINAL ANSWER
49.9999999999906 Meter <-- Arc Length
(Calculation completed in 00.000 seconds)

9 Arc of Circle Calculators

Angle subtended by arc of Circle given radius and arc length
angle_a = (pi*Arc Length)/(Radius of circle*180*pi/180) Go
Arc length of Circle given area of quadrant
arc_length = 2*pi*(Area/pi)^(0.5) Go
Arc length of Circle given area and corresponding angle
arc_length = (Area/pi)*Angle Go
Arc Length of Circle given radius and central angle
arc_length = Radius*Central Angle Go
Arc length of Circle given radius and angle subtended by arc
arc_length = Radius*Angle A Go
Arc length of Circle given radius and corresponding angle
arc_length = Radius*Angle Go
Arc length of Circle given tangent chord angle
arc_length = 2*Inscribed Angle Go
Arc length of Circle given inscribed angle
arc_length = 2*Inscribed Angle Go
Arc length of Circle given central angle
arc_length = Central Angle Go

Arc length of Circle given area and corresponding angle Formula

arc_length = (Area/pi)*Angle
s = (A/pi)*α

What is an intercepted arc?

An intercepted arc can therefore be defined as an arc formed when one or two different chords or line segments cut across a circle and meet at a common point called a vertex. It is important to note that the lines or the chords can either meet in the middle of a circle, on the other side of a circle or outside a circle.

How to Calculate Arc length of Circle given area and corresponding angle?

Arc length of Circle given area and corresponding angle calculator uses arc_length = (Area/pi)*Angle to calculate the Arc Length, Arc length of circle given area and corresponding angle formula is defined as product of area and corresponding angle of the given circle. Arc Length and is denoted by s symbol.

How to calculate Arc length of Circle given area and corresponding angle using this online calculator? To use this online calculator for Arc length of Circle given area and corresponding angle, enter Area (A) & Angle (α) and hit the calculate button. Here is how the Arc length of Circle given area and corresponding angle calculation can be explained with given input values -> 50 = (50/pi)*3.1415926535892.

FAQ

What is Arc length of Circle given area and corresponding angle?
Arc length of circle given area and corresponding angle formula is defined as product of area and corresponding angle of the given circle and is represented as s = (A/pi)*α or arc_length = (Area/pi)*Angle. The area is the amount of two-dimensional space taken up by an object & The Angle is the space (usually measured in degrees) between two intersecting lines or surfaces at or close to the point where they meet.
How to calculate Arc length of Circle given area and corresponding angle?
Arc length of circle given area and corresponding angle formula is defined as product of area and corresponding angle of the given circle is calculated using arc_length = (Area/pi)*Angle. To calculate Arc length of Circle given area and corresponding angle, you need Area (A) & Angle (α). With our tool, you need to enter the respective value for Area & 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 Arc Length?
In this formula, Arc Length uses Area & Angle. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • arc_length = Radius*Angle A
  • angle_a = (pi*Arc Length)/(Radius of circle*180*pi/180)
  • arc_length = Central Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = Radius*Angle
  • arc_length = 2*pi*(Area/pi)^(0.5)
  • arc_length = (Area/pi)*Angle
  • arc_length = Radius*Central Angle
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