Question

In a circle of radius r, an arc of length r will subtends an angle of

Answer 1

Step-by-step explanation:

r=(angle/360)(π2r)

angle=360/(2π)

Answer 2

Given : Radius of circle is r and arc length is r

To find : The angle subtended.

Solution :

The subtended angle is 1 radian

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to find the subtended angle)

Now,

Subtended angle = Length of arc/Radius

By putting the given values, we get :

Subtended angle= r/r = 1 radian

(This will be considered as the final result. In this method the unit of angle is radian.)

Hence, the subtended angle is 1 radian