A circle has a radius of 3 inches. How do you find the length of an arc intercepted by a central angle whose measure is 25 radians?

To find the length of an arc intercepted by a central angle in radians, you can use the formula:

Arc Length = Radius × Central Angle

In this case, the radius (r) of the circle is 3 inches and the central angle (θ) is 25 radians. Plugging these values into the formula gives:

Arc Length = 3 inches × 25 radians

This simplifies to:

Arc Length = 75 inches

So, the length of the arc intercepted by a central angle of 25 radians in a circle with a radius of 3 inches is 75 inches.