Question

Use the arc length formula and the given information to find _. s = 7 m, r = 12 m; _ = ?

Answer 1

Answer:

$\theta=\frac{7}{12}$radians

Step-by-step explanation:

We are given that

$S=7m,r=12m$

We have to find the value of theta using given information.

We know that arc length formula

$S=r\theta$

Where S=Length of arc

$\theta$=central angle

r=Radius of circle

$\theta=\frac{S}{r}$

Substitute the values then we get

$\theta=\frac{7}{12}$ radian

Hence, $\theta=\frac{7}{12}$radians

Answer 2

Assuming we are being asked the subtended angle of the arc,
S = r∅; where ∅ is the angle.
7 = 12∅
∅ = 7/12 radians