Top

Angle Calculator
Top

An angle is a combinations of two lines which connect the same endpoint. The endpoint is the angle. Here is one of the basic angle calculator, Central Angle Calculator. You can find out the value of angle which an arc creates at the center of the circle (central angle), with length of radius and arc known. You have just put the values of arc and Radius in this calculator and you will get the value of central angle.

Angle Calculator covers calculators like Complementary Angle Calculator, Supplementary Angle Calculator, Interior Angles of Polygon Calculator etc. This topic also covers such calculators, please go through the list of calculators below 

 

Step by Step Calculation

Back to Top
Step 1 :  

Read the given problem and note down the given radius r and acr length s.



Step 2 :  

To find thd central angle use the formula


Central angle = $\frac{Arc length}{radius}$




                = $\frac{s}{r}$




Substitute the values in above formula and get the answer.



Example Problems

Back to Top
  1. A wheel of radius 0.5 m rotates a distance of 2m. Calculate its central angle.


    Step 1 :  

    Given: Arc length s = 2m, radius r = 0.5 m



    Step 2 :  

    To find the central angle use the formula


    Central angle = $\frac{s}{r}$




                        = $\frac{2\ m}{0.5\ m}$




                    = 4 Radians




                        = 229.1830.



    Answer  :  

    Central angle = 225.183o.



  2. The giant wheel having the radius of 7 m. A person sitting in it covers a distance of 3m within a short period of time. What is the angle subtended by him?


    Step 1 :  

    Given: Arc length s = 3m, radius r = 7 m



    Step 2 :  

    To find the central angle use the formula


    Central angle = $\frac{s}{r}$




                        = $\frac{3\ m}{7\ m}$




                    = 0.428 Radians




                        = 24.550.



    Answer  :  

    Central angle = 24.550.



More Angle Calculator
Coterminal Angle Calculator Reference Angle Calculator
Complementary Angle Calculator Supplementary Angle Calculator
Interior Angles of Polygon Calculator Obtuse Angle Calculator
Right Angle Calculator Radians to Degrees Calculator
Degrees to Radians Calculator
*AP and SAT are registered trademarks of the College Board.