the formula we need to know is for an area of a sector:
[tex] \frac{x}{360} * \pi r^2[/tex]
where x is the angle of the sector and r is the radius
in this case, the angle is 15 and the radius is 6
[tex] =\frac{15}{360} * 6^{2} \pi [/tex]
[tex]=\frac{1}{24} *36 \pi [/tex]
[tex] =\frac{36 \pi }{24} [/tex]
[tex] =\frac{36}{24} * \pi [/tex]
[tex] =\frac{3}{2} * \pi [/tex]
[tex]=1.5*3.14[/tex]
[tex]=4.71[/tex]
so your answer is C!
hope this helps!
p.s. can i have brainliest?