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Length of arc when area and corresponding angle are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = (Area/pi)*Angle A
s = (A/pi)*∠A
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 A - The angle A is one of the angles of a triangle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (A/pi)*∠A --> (50/pi)*0.5235987755982
Evaluating ... ...
s = 8.33333333333176
STEP 3: Convert Result to Output's Unit
8.33333333333176 Meter --> No Conversion Required
FINAL ANSWER
8.33333333333176 Meter <-- Arc Length
(Calculation completed in 00.000 seconds)

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Length of minor arc when angle formed outside and major arc are given
length_of_minor_arc = Length of Major Arc-(2*Angle A) Go
Length of arc intercepted when other arc and angle formed are given
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Arc measure
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Length of arc intercepted by inscribed angle
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Length of arc intercepted by central angle
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Length of arc when area and corresponding angle are given Formula

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

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 Length of arc when area and corresponding angle are given?

Length of arc when area and corresponding angle are given calculator uses arc_length = (Area/pi)*Angle A to calculate the Arc Length, The Length of arc when area and corresponding angle are given 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 Length of arc when area and corresponding angle are given using this online calculator? To use this online calculator for Length of arc when area and corresponding angle are given, enter Area (A) and Angle A (∠A) and hit the calculate button. Here is how the Length of arc when area and corresponding angle are given calculation can be explained with given input values -> 8.333333 = (50/pi)*0.5235987755982.

FAQ

What is Length of arc when area and corresponding angle are given?
The Length of arc when area and corresponding angle are given formula is defined as product of area and corresponding angle of the given circle and is represented as s = (A/pi)*∠A or arc_length = (Area/pi)*Angle A. The area is the amount of two-dimensional space taken up by an object and The angle A is one of the angles of a triangle.
How to calculate Length of arc when area and corresponding angle are given?
The Length of arc when area and corresponding angle are given formula is defined as product of area and corresponding angle of the given circle is calculated using arc_length = (Area/pi)*Angle A. To calculate Length of arc when area and corresponding angle are given, you need Area (A) and Angle A (∠A). With our tool, you need to enter the respective value for Area and Angle A 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 and Angle A. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • arc_measure = Arc Length/Radius
  • arc_length = radius of circle*Subtended Angle in Radians
  • theta = (pi*Arc Length)/(radius of circle*180*pi/180)
  • arc_length = Central Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = 2*Inscribed Angle
  • major_axis = (2*Angle A)+Minor axis
  • length_of_major_arc = (2*Angle A)+Length of Minor Arc
  • length_of_minor_arc = Length of Major Arc-(2*Angle A)
  • arc_length = Radius*Angle A
Where is the Length of arc when area and corresponding angle are given calculator used?
Among many, Length of arc when area and corresponding angle are given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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