A student is measuring the surface area of a cylindrical wire. The student measures the radius of the wire to be 1 \pm 0.1 \mathrm{~cm} using a ruler and the length of the wire to be 1.00 \pm 0.01 \mathrm{~m} using a meter-stick. The precision of their result can be increased in several ways. 1: Upgrade the ruler to a caliper with uncertainty 0.01 \mathrm{~cm}.
2: Upgrade the meter-stick to a tape measure with uncertainty 0.001 \mathrm{~m}.
3: Repeat the measurement independently ten times and average the results.
How do the resulting uncertainties of the measurements compare?
Answer Choices
A. Method 3 has the lowest uncertainty, while methods 1 and 2 have the same uncertainty
B. Method 3 has the highest uncertainty, while methods 1 and 2 have the same uncertainty
C. Method 1 has the highest uncertainty, and method 2 has the lowest
D. Method 2 has the highest uncertainty, and method 1 has the lowest
E. Method 2 has the highest uncertainty, and method 3 has the lowest