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Length of arc intercepted by central angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = Central Angle
s = θ
This formula uses 1 Variables
Variables Used
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
Central Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = θ --> 0.785398163397301
Evaluating ... ...
s = 0.785398163397301
STEP 3: Convert Result to Output's Unit
0.785398163397301 Meter --> No Conversion Required
FINAL ANSWER
0.785398163397301 Meter <-- Arc Length
(Calculation completed in 00.000 seconds)

10+ Arc of a Circle Calculators

Arc Angle from Arc length and Radius
theta = (pi*Arc Length)/(radius of circle*180*pi/180) Go
Arc length from Radius and Arc Angle
arc_length = radius of circle*Subtended Angle in Radians Go
Length of major arc when angle formed outside and minor arc are given
length_of_major_arc = (2*Angle A)+Length of Minor Arc Go
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
major_axis = (2*Angle A)+Minor axis Go
Arc measure
arc_measure = Arc Length/Radius Go
Length of arc when radius and corresponding angle are given
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Length of arc intercepted by tangent chord angle
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Length of arc intercepted by inscribed angle
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Length of arc intercepted by central angle
arc_length = Central Angle Go

Length of arc intercepted by central angle Formula

arc_length = Central Angle
s = θ

What are circles used for in real life?

Some examples of circles in real life are camera lenses, pizzas, tires, Ferris wheels, rings, steering wheels, cakes, pies, buttons and a satellite's orbit around the Earth. Circles are simply closed curves equidistant from a fixed center.

How to Calculate Length of arc intercepted by central angle?

Length of arc intercepted by central angle calculator uses arc_length = Central Angle to calculate the Arc Length, The Length of arc intercepted by central angle formula is defined as equal to the central angle of the circle of which the arc is a part of. Arc Length and is denoted by s symbol.

How to calculate Length of arc intercepted by central angle using this online calculator? To use this online calculator for Length of arc intercepted by central angle, enter Central Angle (θ) and hit the calculate button. Here is how the Length of arc intercepted by central angle calculation can be explained with given input values -> 0.785398 = 0.785398163397301.

FAQ

What is Length of arc intercepted by central angle?
The Length of arc intercepted by central angle formula is defined as equal to the central angle of the circle of which the arc is a part of and is represented as s = θ or arc_length = 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.
How to calculate Length of arc intercepted by central angle?
The Length of arc intercepted by central angle formula is defined as equal to the central angle of the circle of which the arc is a part of is calculated using arc_length = Central Angle. To calculate Length of arc intercepted by central angle, you need Central Angle (θ). With our tool, you need to enter the respective value for 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 Arc Length?
In this formula, Arc Length uses Central Angle. 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 intercepted by central angle calculator used?
Among many, Length of arc intercepted by central angle calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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