The diameter of a circle is 8 centimeters. What is the angle measure of an arc bounding a sector with area 2 square centimeters?

With a diameter of 8, the radius is 4, and the total area of the circle is πr² = 16π. The area 2 is a fraction of that 16π.

The angle that we're looking for is that same fraction of 360° (a full circle).

So angle = 360 * 2/16π = 45/π ≈ 14.32