Given:
The arc length for the given sector is 7π
The central angle for the given sector is θ
The radius of the circle is r.
We need to determine the formula for r in terms of θ
Formula for r:
The formula for r in terms of θ can be determined using the arc length formula,
[tex]S=r \theta[/tex]
Substituting the values, we have;
[tex]7 \pi =r \theta[/tex]
Dividing both sides by θ, we get;
[tex]\frac{7 \pi}{\theta}=r[/tex]
Thus, the formula for r in terms of θ is [tex]\frac{7 \pi}{\theta}[/tex]
