Answer:
C
Step-by-step explanation:
The arc length formula (in radians) is:
\(s=r\theta\)
Where,
- \(s\) is the arc length
- \(r\) is the radius of the circle
- \(\theta\) is the angle intercepted by the arc [in radians]
It is given that radius, \(r=2\) and angle, \(\theta=\frac{5\pi}{3}\)
Substituting these values in the arc length formula gives us:
\(s=(2)(\frac{5\pi}{3})\\s=\frac{10\pi}{3}\)
Using \(\pi\) as \(3.14\) and rounding to nearest tenth gives us:
\(s=\frac{(10)(\pi)}{3}\\s=10.5\) ft
Correct answer is C.
