The center of the circle below is at P. If the central angle < APB measures 101 °, and the length of arc AB = 22 cm., find the radius. (round to the nearest tenth)

In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
circle diagram
Step 02:
arc length of a circle:
angle APB = 101°
arc AB = 22 cm
radius:
[tex]arc\text{ length = }\frac{\theta}{360\degree}*2\pi r[/tex][tex]\begin{gathered} 22\text{ cm = }\frac{101\degree}{360\degree}*2\pi r \\ \\ 22\text{ cm * }\frac{360\degree}{101\degree}\text{ * }\frac{1}{2\pi}\text{= r} \\ \\ 12.480\text{ cm = r} \end{gathered}[/tex]The answer is:
radius = 12.5 cm