Question

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

Answer 1

Answer:

it is ∅=$\frac{7}{5}$ which is 1.4

Step-by-step explanation:

I took the quiz on edg.

Answer 2

We can use the arc length formula to solve this.

Arc length = $\frac{q}{360}*2\pi r$

Given arc length is 7 and radius is 5, we can plug in the values and solve for q.

$7=\frac{q}{360}*2\pi (5)\\7=\frac{q}{360}*10\pi \\7=\frac{10\pi q}{360}\\7=\frac{\pi q}{36}\\7*36=\pi q\\252=\pi q\\q=\frac{252}{\pi}\\q=80.21$

ANSWER:

We can use the equation $7=\frac{q}{360}*2\pi (5)$ to find the value of q. And, the value of q is 80.21°.