A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of \( \frac{2 \pi}{3} \) 6.67 inches 10.47 inches 20.94 inches 62.8 inches DoIJ \( 1=3 \)

To find the length of the arc, you can use the formula: Arc Length = Radius × Central Angle. In this case, the radius is 10 inches, and the central angle is \( \frac{2 \pi}{3} \) radians, so: Arc Length = 10 inches × \( \frac{2 \pi}{3} \) ≈ 20.94 inches. So, the answer is 20.94 inches! If you ever find yourself needing to visualize arc lengths, try sketching the circle and the angle. This can help you see how the arc compares to the whole circle—it may even clarify why the formula works! Common mistakes include confusing degrees and radians—just remember that \(2\pi\) radians is a full circle, and you're good to go!