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Central angle of Circle given radius and major arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
central_angle = Length of Major Arc/Radius
Anglecentral = 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 Meter)
STEP 1: Convert Input(s) to Base Unit
Length of Major Arc: 15 Centimeter --> 0.15 Meter (Check conversion here)
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Anglecentral = L/r --> 0.15/10
Evaluating ... ...
Anglecentral = 0.015
STEP 3: Convert Result to Output's Unit
0.015 Radian -->0.859436692696396 Degree (Check conversion here)
FINAL ANSWER
0.859436692696396 Degree <-- Central Angle
(Calculation completed in 00.015 seconds)

10+ Angle of Circle Calculators

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angle_a = arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between centers)^2))/(2*Radius 1*Radius 2)) Go
Interior angle of Circle given arc lengths
inscribed_angle = (Length of Major Arc+Length of Minor Arc)/2 Go
Exterior angle of Circle given arc lengths
exterior_angle = (Length of Major Arc-Length of Minor Arc)/2 Go
Angle formed at centre of Circle given area of sector
central_angle = (Area of Sector*2)/(Radius^2) Go
Central angle of Circle given radius and major arc length
central_angle = Length of Major Arc/Radius Go
Central angle of Circle given radius and minor arc length
central_angle = Length of Minor Arc/Radius Go
Angle formed at circumference of Circle given inscribed angle
angle_a = 2*Inscribed Angle Go
Angle subtended by arc of Circle given arc length
central_angle = Arc Length Go
Angle subtended by arc of Circle given angle subtended on circumference
central_angle = 2*Angle A Go
Angle formed by intersecting tangent and chord of Circle
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Central angle of Circle given radius and major arc length Formula

central_angle = Length of Major Arc/Radius
Anglecentral = 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 of Circle given radius and major arc length?

Central angle of Circle given radius and major arc length calculator uses central_angle = Length of Major Arc/Radius to calculate the Central Angle, Central angle of circle given radius and major arc length 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 is denoted by Anglecentral symbol.

How to calculate Central angle of Circle given radius and major arc length using this online calculator? To use this online calculator for Central angle of Circle given radius and major arc length, enter Length of Major Arc (L) & Radius (r) and hit the calculate button. Here is how the Central angle of Circle given radius and major arc length calculation can be explained with given input values -> 0.859437 = 0.15/10.

FAQ

What is Central angle of Circle given radius and major arc length?
Central angle of circle given radius and major arc length 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 Anglecentral = 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° & Radius is a radial line from the focus to any point of a curve.
How to calculate Central angle of Circle given radius and major arc length?
Central angle of circle given radius and major arc length 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 of Circle given radius and major arc length, you need Length of Major Arc (L) & Radius (r). With our tool, you need to enter the respective value for Length of Major Arc & 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 & Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • central_angle = Length of Major Arc/Radius
  • central_angle = Length of Minor Arc/Radius
  • central_angle = (Area of Sector*2)/(Radius^2)
  • central_angle = 2*Angle A
  • angle_a = 2*Inscribed Angle
  • angle_a = arccos((((Radius 1)^2)+((Radius 2)^2)-((Distance between centers)^2))/(2*Radius 1*Radius 2))
  • central_angle = Arc Length
  • exterior_angle = (Length of Major Arc-Length of Minor Arc)/2
  • inscribed_angle = (Length of Major Arc+Length of Minor Arc)/2
  • angle = Arc Length/2
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