Question

110°
If r = 9 ft, what is the length, in ft, of arc DF? Use 3.14 for the value of pi. *
(1 Point)

Answer 1

Answer:

17.27 ft

Step-by-step explanation:

As we know, formula for length of arc $(l)$ is

$l = \theta \times r\\\text {where } \theta\text{ is the angle of arc in radians and }r \text{ is the radius of circle}$

Here we are given that $r = 9 ft$ and $\theta = 110 ^\circ$

To convert the angle from degrees to radian, we need to multiply it by $\frac{ \pi}{180}$.

So, in radians $\theta = 110 \times \frac{\pi}{180} \text{ radians}$

Putting the values in formula of length:

$l = 110 \times \frac {\pi}{180} \times 9\\\Rightarrow 110 \times \frac{3.14}{180} \times 9\\\Rightarrow 1.57 \times 11\\\Rightarrow 17.27$

Hence, length of arc is $17.27 ft$.