Question

Determine the length of arc JL.

Answer 1

The length of arc JL is $\frac{25}{18} \pi$  So option c is correct.

Solution:

Given, from the diagram, radius of the given circle is 2 units.

And, the angle between the radius JK and KL is 125 degrees.

We have to find the length of the minor arc formed by JL

The length of arc is given as:

$\text { Length of arc }=2 \pi r\left(\frac{\theta}{360}\right)$

where $\theta$ is angle between radii formed by points with centre

Now the length of arc JL is:

$=2 \pi \times 2 \times \frac{125}{360}=4 \pi \times \frac{125}{360}=\pi \times \frac{125}{90}=\frac{25}{18} \pi$

Hence, the length of are JL is $\frac{25}{18} \pi$ so option c is correct.