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Central angle when radius and length for major arc are given Solution

STEP 0: Pre-Calculation Summary
Formula Used
central_angle = Length of Major Arc/Radius
θ = L/r
This formula uses 2 Variables
Variables Used
Length of Major Arc - Length of Major Arc is the length of the arc which is larger than a semicircle. A central angle that is subtended by a major arc has a measure greater than 180°. (Measured in Centimeter)
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Length of Major Arc: 15 Centimeter --> 0.15 Meter (Check conversion here)
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = L/r --> 0.15/0.18
Evaluating ... ...
θ = 0.833333333333333
STEP 3: Convert Result to Output's Unit
0.833333333333333 Radian -->47.7464829275776 Degree (Check conversion here)
FINAL ANSWER
47.7464829275776 Degree <-- Central Angle
(Calculation completed in 00.016 seconds)

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Angle of intersection between two circles
angle_a = arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between two origin)^2))/(2*Radius 1*Radius 2)) Go
Inscribed angle when radius and length for minor arc are given
inscribed_angle = (90*Length of Minor Arc)/(pi*Radius) Go
Inscribed angle when radius and length for major arc are given
inscribed_angle = (90*Length of Major Arc)/(pi*Radius) Go
Inscribed angle when other inscribed angle is given
inscribed_angle = (180*pi/180)-Inscribed angle 2 Go
Angle formed at the centre when area of sector is given
central_angle = (Area of Sector*2)/(Radius^2) Go
Central angle when radius and length for major arc are given
central_angle = Length of Major Arc/Radius Go
Central angle when radius and length for minor arc are given
central_angle = Length of Minor Arc/Radius Go
Angle formed at circumference when angle formed at centre subtended by same arc is known
central_angle = 2*Inscribed Angle Go
Inscribed angle of the circle when the central angle of the circle is given
inscribed_angle = Central Angle/2 Go
Angle formed at centre when angle formed at other point on circumference is known
central_angle = 2*Angle A Go

Central angle when radius and length for major arc are given Formula

central_angle = Length of Major Arc/Radius
θ = L/r

What is Central angle when radius and length for major arc are given?

Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one. The central angle is also known as the arc's angular distance. The size of a central angle θ is 0° < θ < 360° or 0 < θ < 2π (radians). When defining or drawing a central angle, in addition to specifying the points A and B, one must specify whether the angle being defined is the convex angle (<180°) or the reflex angle (>180°). To find the central angle when radius and length for major arc are given, you can divide the length for a major arc by radius.

How to Calculate Central angle when radius and length for major arc are given?

Central angle when radius and length for major arc are given calculator uses central_angle = Length of Major Arc/Radius to calculate the Central Angle, Central angle when radius and length for major arc are given 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 provided the values for radius and length for the major arc is given. Central Angle and is denoted by θ symbol.

How to calculate Central angle when radius and length for major arc are given using this online calculator? To use this online calculator for Central angle when radius and length for major arc are given, enter Length of Major Arc (L) and Radius (r) and hit the calculate button. Here is how the Central angle when radius and length for major arc are given calculation can be explained with given input values -> 47.74648 = 0.15/0.18.

FAQ

What is Central angle when radius and length for major arc are given?
Central angle when radius and length for major arc are given 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 provided the values for radius and length for the major arc is given and is represented as θ = L/r or central_angle = Length of Major Arc/Radius. Length of Major Arc is the length of the arc which is larger than a semicircle. A central angle that is subtended by a major arc has a measure greater than 180° and Radius is a radial line from the focus to any point of a curve.
How to calculate Central angle when radius and length for major arc are given?
Central angle when radius and length for major arc are given 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 provided the values for radius and length for the major arc is given is calculated using central_angle = Length of Major Arc/Radius. To calculate Central angle when radius and length for major arc are given, you need Length of Major Arc (L) and Radius (r). With our tool, you need to enter the respective value for Length of Major Arc and Radius 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 Central Angle?
In this formula, Central Angle uses Length of Major Arc and Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • inscribed_angle = (90*Length of Minor Arc)/(pi*Radius)
  • inscribed_angle = (90*Length of Major Arc)/(pi*Radius)
  • central_angle = Length of Major Arc/Radius
  • central_angle = Length of Minor Arc/Radius
  • inscribed_angle = Central Angle/2
  • inscribed_angle = (180*pi/180)-Inscribed angle 2
  • central_angle = (Area of Sector*2)/(Radius^2)
  • central_angle = 2*Angle A
  • central_angle = 2*Inscribed Angle
  • angle_a = arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between two origin)^2))/(2*Radius 1*Radius 2))
Where is the Central angle when radius and length for major arc are given calculator used?
Among many, Central angle when radius and length for major arc are given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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