[填空题]
The radius of a circle o6pc*l7z 3y xazdpxiiclh+ 7+4 f wire is measured to wopj7)d1ir27v (aip rbe 10.0 ± 0.5 cm. What is the percentage error in the area of the loop? % What is the percentage error in the circumference of the loop? %
参考答案: 空格1: 10.0
空格2: 5.0
本题详细解析: First calculate the k(6ueu*fu)phl :qe77 tr be4r msvy;9percentage error in the radius of the loop: $$ \frac{\Delta \mathrm{r}}{\mathrm{r}}=\frac{0.5}{10}=5 \% $$ The area of a circle is $A=\pi r^2$ and so the percentage error on the area of the loop will be twice the percentage error of the radius, $\Delta A=10 \%$.
Post time 2024-8-21 21:38:19