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Verified Answer :

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

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