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)

The center of the circle below is at P If the central angle lt APB measures 101 and the length of arc AB 22 cm find the radius round to the nearest tenth class=

Respuesta :

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