Question

He diameter of a circle is 10 units and an arc on this circle has a 35° central angle associated with it. What is the length of the arc?

A) 5pi/9 units
B) 5pi/6 units
C) 35pi/36 units
D)25pi/18

Answer 1

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.