[填空题]
The radius of a circle o:87tq ih5+oll,nytrm5ro9 pxf wire is measured to be 10.0 ± 6 i1n p,tj) )cul b/b(o(mzv5j d5sast0.5 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 percentage error in the radius of the lohv0g 4dg e zhb73l;,zsop: $$ \frac{\Delta \mathrm{r}}{\mathrm{r}}=\frac{0.5}{10}=5 \% $$ 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, $\Delta A=10 \%$.