Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
