Answer:
13. [tex]12.88m[/tex]
14. [tex]10ft[/tex]
Step-by-step explanation:
To calculate the circumference, use the following formula, where [tex]d[/tex] is the diameter:
[tex]C = \pi d\\C = 3.14159 * 4.1 = 12.88m[/tex]
To find the arc length, use the following formula, where [tex]r[/tex] is radius and [tex]\theta[/tex] is the angle in radians:
[tex]s = r\theta[/tex]
Before you plug in any values, convert the angle from degrees to radians using the following formula, where x is the angle in degrees:
[tex]\theta = \frac{x}{180}\pi\\\theta = \frac{144}{180}\pi\\\theta \approx 2.5[/tex]
Now plug in your values:
[tex]s = 4 \cdot 2.5\\s = 10ft[/tex]
