A Central angle is the angle subtended by the arc which is having vertex at the center of the circle. Here $\angle {AOC}$ is the central angle.

Angle Calculator Calculates Central angle of the given circle if the Arc length and radius are known. Provided are the space where you are supposed to enter the value of arc length and radius to get the angle.
Before dealing with the problems let us study how to find the central angle.
Step 1 : Read the given problem and list out the given quantities.

Step 2 : The Central angle formula is given by
Central angle = $\frac{Arc\ length \times 180^{o}}{\pi \times\ Radius}$
substitute all the values and get the answer.


Below are given some problems based on central angle which may be useful for you.

Solved Examples

Question 1: Find the central angle if Arc length is 5m and radius is 2 m.
Solution:
 
Given : Arc length = 5m,
                 Radius = 2m

The central angle is given by
Central angle = $\frac{Arc\ length \times 180}{\pi \times\ Radius}$

                    = $\frac{5 m \times 180^{o}}{3.142 \times 2m}$

                    = 143.312o.
 

Question 2: Find the central angle if Arc length is 2m and radius is 1 m.
Solution:
 
Given : Arc length = 2m,
                 Radius = 1m

The central angle is given by
Central angle = $\frac{Arc\ length \times 180}{\pi \times\ Radius}$

                    = $\frac{2m \times 180^{o}}{3.142 \times 1m}$

                    = 114.65o.