In circle O, angle AOB measures π/3 radians. What is the length of arc AB?

To find the length of arc AB in circle O given that the angle AOB measures π/3 radians, we can use the formula for the length of an arc:

Arc Length = r × θ

Where:

  • r is the radius of the circle
  • θ is the angle in radians

In this case, we need to know the radius of the circle to calculate the arc length. Assuming the radius is r, we substitute the values:

Arc Length = r × (π/3)

This means the length of arc AB is (π/3) × r. Without the specific radius provided, we’ll need that information to calculate an exact numerical length. Otherwise, the arc length depends directly on the value of the radius.

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