Finding subtended angle at the centre of a circle from known arc length

7k Views Asked by At

I have the question "What angle is subtended at the center of a circle of radius $2$ km by an arc of length $9$ m?"

I am not sure which formula to use to find the subtended angle.

2

There are 2 best solutions below

3
On BEST ANSWER

For any circle:

$${ arc=radius*\theta}$$

Where theta is in radian.

From the given data:

$${\theta=arc/radius=0.009/2=0.0045 radians}$$

6
On

Hint. Recall that the length of an arc of a circle and the corresponding angle subtended at the centre are proportional.