We can use the arc length formula to solve this.
Arc length = [tex]\frac{q}{360}*2\pi r[/tex]
Given arc length is 7 and radius is 5, we can plug in the values and solve for q.
[tex]7=\frac{q}{360}*2\pi (5)\\7=\frac{q}{360}*10\pi \\7=\frac{10\pi q}{360}\\7=\frac{\pi q}{36}\\7*36=\pi q\\252=\pi q\\q=\frac{252}{\pi}\\q=80.21[/tex]
ANSWER:
We can use the equation [tex]7=\frac{q}{360}*2\pi (5)[/tex] to find the value of q. And, the value of q is 80.21°.
