Short Answer 
The angle of 60¬¨‚àû is vital for the calculations involving 6 arcs, leading to a total perimeter of 6r. It’s important to recognize that this calculated perimeter is slightly less than the actual circumference of the shape formed by the arcs.
Step 1: Understand the Measurement
The problem begins with a known angle of 60°. This angle is critical for further calculations regarding the arcs. Understanding the significance of this angle in relation to the entire figure is essential to proceed effectively.
Step 2: Calculate the Perimeter
Given that there are 6 arcs, each measured as r, we can determine the total perimeter. The formula for the perimeter in this case is 6r. Thus, identifying the total length based on the number of arcs is crucial in solving the problem.
Step 3: Analyzing the Circumference
When we consider the circumference of the shape formed by these arcs, it is important to note that the perimeter calculated previously is slightly less than the actual circumference. This is because the circumference is inherently longer, leading to the understanding that inversely, the calculated perimeter relates closely to the circumference.