Question

In a circle with radius 2.1, an angle intercepts an arc of length 21.2. Find the angle in

Answer 1

Given:

Radius of a circle = 2.1 units

Arc length = 21.2 units

To find:

The central angle in radians to the nearest 10th.

Solution:

We know that the intercepted arc length is

$s=r\theta$

Where, s is the arc length, r is the radius and $\theta$ is the central angle in radians.

Putting the given values, we get

$21.2=2.1\theta$

$\dfrac{21.2}{2.1}=\theta$

$10.095238=\theta$

$\theta\approx 10.1$

Therefore, the angle in radians is 10.1.