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

Answer:

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

Step-by-step 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:

$Percentage\hspace{3}error=|\frac{v_A-v_E}{v_E} | \times 100$

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:

$Percentage\hspace{3}error=|\frac{15.6-15.3}{15.3}| \times 100 = 1.960784314\%\approx 1.96\%$