Given arc length L = 1 (19)/(36) cm = (36 x 1 + 19)/(36) cm = (55)/(36) cm.

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Question 31:
The length of an arc of a circle is given by the formula $L = \frac{\theta}{360^\circ} \times 2\pi r$, where $\theta$ is the angle subtended at the center in degrees, and $r$ is the radius.

Step 1: Convert the given values to fractions.
Given arc length $L = 1 \frac{19}{36} \text{ cm} = \frac{36 \times 1 + 19}{36} \text{ cm} = \frac{55}{36} \text{ cm}$.
Given radius $r = 3.5 cm