Question

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

a. 6.0 in ^2
b. 12.0 in ^2
c. 24.0 in ^2
d. 26.3 in ^2

Answer 1

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

First, convert 168° into radians using the proportion π = 180°

`( \pi)/(180) = (x)/(168)`

`(168\pi )/(180) = x`

`(14 \pi )/(15) = x`

Next, plug in x for θ
s = r · θ
= 8 ·
`(14 \pi )/(15)`
=
`(112 \pi )/(15)`
= 23.457
≈ 24.0

Answer: C