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nabeelahmed1721

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]

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