Verified Answer :

GinnyAnswer

To find the length of an arc given the radius of the circle and the angle it subtends in radians, we can use the formula:

\(\[ \text{arc length} = \text{radius} \times \text{angle in radians} \]\)

In this problem, the given values are:
- Radius (\(\( r \)\)) = 13 cm
- Angle (\(\( \theta \)\)) = 0.9 radians

Substitute the given values into the formula:

\(\[ \text{arc length} = 13 \, \text{cm} \times 0.9 \, \text{radians} \]\)

Now, calculate the arc length:

\(\[ \text{arc length} = 11.7 \, \text{cm} \]\)

Thus, the length of the arc is 11.7 cm.

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