[填空题]
The radius of a circle of wire is measured to be 10.4,pmt* bc 6ddi0 ± 0.5agki8e vrre;/prk q) 24f bg/8 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 percentage error in rd;,r: xfvj*:f0b ;1rmmpa dfthe 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