Respuesta :
Answer: Length of the radius of the sector is 6 units.
Step-by-step explanation:
Since we have given that
Length of an arc = 10.8
Radian of a central angle = 1.8
First we convert radian into degrees,
[tex]1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times 57.3\textdegree\\\\1.8\ radians=103.14\textdegree[/tex]
As we know the formula for "Length of an arc":
[tex]\text{Length of an arc}=\frac{\theta}{360\textdegree}\times 2\pi r\\\\10.8=\frac{103.14}{360\textdegree}\times 2\times \frac{22}{7}\times r\\\\10.8=1.8r\\\\r=\frac{10.8}{1.8}\\\\r=6[/tex]
Hence, Length of the radius of the sector is 6 units.
