A bend on a race track is an arc of a circle of radius 35 m…

Step 1. The circumference. $2 \times \dfrac{22}{7} \times 35 = 220\ \text{m}$.

Step 2. The fraction. $\dfrac{55}{220} = \dfrac{1}{4}$.

Step 3. The angle. We want $\theta$, so $\theta = \dfrac{1}{4} \times 360^\circ = 90^\circ$.