Credits

Softusvista Office (Pune), India
Team Softusvista has created this Calculator and 500+ more calculators!
Bhilai Institute of Technology (BIT), Raipur
Himanshi Sharma has verified this Calculator and 500+ more calculators!

Central angle of Circle given radius and minor arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
central_angle = Length of Minor Arc/Radius
Anglecentral = L/r
This formula uses 2 Variables
Variables Used
Length of Minor Arc - Length of Minor Arc is the length of the arc smaller than a semicircle. A central angle that is subtended by a minor arc has a measure of less 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 Minor Arc: 9 Centimeter --> 0.09 Meter (Check conversion here)
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Anglecentral = L/r --> 0.09/10
Evaluating ... ...
Anglecentral = 0.009
STEP 3: Convert Result to Output's Unit
0.009 Radian -->0.515662015617838 Degree (Check conversion here)
FINAL ANSWER
0.515662015617838 Degree <-- Central Angle
(Calculation completed in 00.011 seconds)

10+ Angle of Circle Calculators

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 of Circle given radius and minor arc length
inscribed_angle = (90*Length of Minor Arc)/(pi*Radius) Go
Inscribed angle of Circle given radius and major arc length
inscribed_angle = (90*Length of Major Arc)/(pi*Radius) Go
Inscribed angle of Circle given other inscribed angle
inscribed_angle = (180*pi/180)-Inscribed angle 1 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
Inscribed angle of Circle given central angle
inscribed_angle = Central Angle/2 Go
Angle formed at circumference of Circle given inscribed angle
angle_a = 2*Inscribed Angle Go
Angle subtended by arc of Circle given angle subtended on circumference
central_angle = 2*Angle A Go

Central angle of Circle given radius and minor arc length Formula

central_angle = Length of Minor Arc/Radius
Anglecentral = L/r

What is Central angle when radius and length for minor 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 minor arc are given, you can divide the length for minor arc by radius.

How to Calculate Central angle of Circle given radius and minor arc length?

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

How to calculate Central angle of Circle given radius and minor arc length using this online calculator? To use this online calculator for Central angle of Circle given radius and minor arc length, enter Length of Minor Arc (L) and Radius (r) and hit the calculate button. Here is how the Central angle of Circle given radius and minor arc length calculation can be explained with given input values -> 0.515662 = 0.09/10.

FAQ

What is Central angle of Circle given radius and minor arc length?
Central angle of circle given radius and minor 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 minor arc is given and is represented as Anglecentral = L/r or central_angle = Length of Minor Arc/Radius. Length of Minor Arc is the length of the arc smaller than a semicircle. A central angle that is subtended by a minor arc has a measure of less than 180° and Radius is a radial line from the focus to any point of a curve.
How to calculate Central angle of Circle given radius and minor arc length?
Central angle of circle given radius and minor 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 minor arc is given is calculated using central_angle = Length of Minor Arc/Radius. To calculate Central angle of Circle given radius and minor arc length, you need Length of Minor Arc (L) and Radius (r). With our tool, you need to enter the respective value for Length of Minor 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 Minor 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 1
  • 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 two origin)^2))/(2*Radius 1*Radius 2))
Where is the Central angle of Circle given radius and minor arc length calculator used?
Among many, Central angle of Circle given radius and minor arc length calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!