Area of a sector (s) = radius (r) · θ (in radians)
First, convert 168° into radians using the proportion π = 180°
[tex] \frac{ \pi}{180} = \frac{x}{168} [/tex]
[tex] \frac{168\pi }{180} = x[/tex]
[tex] \frac{14 \pi }{15} = x[/tex]
Next, plug in x for θ
s = r · θ
= 8 · [tex] \frac{14 \pi }{15} [/tex]
= [tex] \frac{112 \pi }{15} [/tex]
= 23.457
≈ 24.0
Answer: C
