(PLEASE ANSWER + BRAINLIEST ANSWER!!)

The sector of a circle shown to the left has its center at point O. The arc XYZ has length 10.8, and the central angle XOZ has measure 1.8 radians. What is the radius length, r, of the sector?

A. √12

B. 6

C. 50/3

D. 19.44

PLEASE ANSWER BRAINLIEST ANSWER The sector of a circle shown to the left has its center at point O The arc XYZ has length 108 and the central angle XOZ has meas class=

Respuesta :

B is the answer hope this helps and please mark me as brainliest 

The arc length, radius and the included angle are related as

[tex] r\theta=\widehat {XYZ} [/tex] where [tex] \theta [/tex] is in radians.

The radius [tex] r [/tex] is given by

[tex] r=\frac{\widehat {XYZ} }{\theta} \\
r=\frac{10.8}{1.8} \\
r=6\;units [/tex]

Correct choice is (B).