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Circle O shown below has a radius of 13 inches. To the nearest tenth of an inch,
determine the length of the arc, x, subtended by an angle of 2.4 radians.
13 inches
0=2.4 rad​

Circle O shown below has a radius of 13 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 2.4 radians.13 inch class=

Answer :

elcharly64

Answer:

[tex]L=31.2\ in[/tex]

Step-by-step explanation:

Length of an arc of a circle

The arc of a circle is a portion of the circumference of a circle. If the circle has a radius r and subtends an angle θ (in radians) with the circle center, then the arc length is

[tex]L=\theta\cdot r[/tex]

We are given the values

[tex]\theta=2.4\ radians[/tex]

[tex]r=13\ in[/tex]

We compute the arc length

[tex]L=2.4\cdot 13[/tex]

[tex]\boxed{L=31.2\ in}[/tex]

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