To find the length of the arc, you can use the formula:
Arc Length = (θ/360°) × 2πr
where θ is the central angle in degrees, and r is the radius of the circle.
In this case, the central angle is 35° and the radius is half the diameter, which is 10/2 = 5 units.
Substituting these values into the formula, we get:
Arc Length = (35°/360°) × 2π × 5
= (35/360) × (2π × 5)
= (35/360) × (10π)
= (35/36)π
Therefore, the length of the arc is 35π/36 units.
The correct answer is C) 35π/36 units.