Answer:
Step-by-step explanation:
The length of the arc is proportional to the central angle.
Circumference
The circumference of the circle is given by ...
C = 2πr
C = 2π(8 in) = 16π in ≈ 50.265 in
Shorter arc
The 60° arc represents 60°/360° = 1/6 of the circle, so its measure will be 1/6 of the total circumference.
short arc = (1/6)(16π in) ≈ 8.38 in
Longer arc
The remaining portion of the circle is 5/6 of the total circumference, so is ...
long arc = (5/6)(16π in) ≈ 41.89 in
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Additional comment
If you use 3.14 for pi, you will get shorter lengths for the arcs. Here, we used the calculator's "pi button."
