Question

What is the area of the figure to the nearest tenth?

Answer 1

Area of a sector (s) = radius (r) · θ (in radians)

First, convert 168° into radians using the proportion π = 180°
$\frac{ \pi}{180} = \frac{x}{168}$
$\frac{168\pi }{180} = x$
$\frac{14 \pi }{15} = x$

Next, plug in x for θ
s = r · θ
   = 8 · $\frac{14 \pi }{15}$
   = $\frac{112 \pi }{15}$
   = 23.457
   ≈ 24.0

Answer: C