Respuesta :

scme1702
Assuming we are being asked the subtended angle of the arc,
S = r∅; where ∅ is the angle.
7 = 12∅
∅ = 7/12 radians
lublana

Answer:

[tex]\theta=\frac{7}{12}[/tex]radians

Step-by-step explanation:

We are given that

[tex]S=7m,r=12m[/tex]

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

We know that arc length formula

[tex]S=r\theta[/tex]

Where S=Length of arc

[tex]\theta[/tex]=central angle

r=Radius of circle

[tex]\theta=\frac{S}{r}[/tex]

Substitute the values then we get

[tex]\theta=\frac{7}{12}[/tex] radian

Hence, [tex]\theta=\frac{7}{12}[/tex]radians

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