Given the circle R
As shown, m∠QRS = 112
The radius of the circle = r = QR = 19 units
We will find the length of the arc QS
First, convert the angle from degree to radian
[tex]\theta=112\cdot\frac{\pi}{180}=\frac{28\pi}{45}[/tex]
The length of the arc will be calculated using the following formula =
[tex]\theta\cdot r=\frac{28\pi}{45}\cdot19=37.14[/tex]
So, the answer will be the length of the arc = 37.14
