Question

The radius of a circle is measured at 15.6cm. The actual radius is 15.3cm. Find, to the nearest percent, the percent error in the measurement of the radius.

Answer 1

`Percentage\hspace{3}error\approx 1.96\%`

Explanation:

The error percentage is a measure of how inaccurate a measurement is, standardized based on the size of the measurement. It can be easily calculated using the following formula:

`Percentage\hspace{3}error=|(v_A-v_E)/(v_E) | * 100`

Where:

`v_A=Approximate\hspace{3}value\\v_E=Exact\hspace{3}value`

Therefore, according to the data provided by the problem:

`v_A=15.6\\v_E=15.3`

The percentage error is:

`Percentage\hspace{3}error=|(15.6-15.3)/(15.3)| * 100 = 1.960784314\%\approx 1.96\%`