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 :

carlos2112

Answer:

[tex]Percentage\hspace{3}error\approx 1.96\%[/tex]

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:

[tex]Percentage\hspace{3}error=|\frac{v_A-v_E}{v_E} | \times 100[/tex]

Where:

[tex]v_A=Approximate\hspace{3}value\\v_E=Exact\hspace{3}value[/tex]

Therefore, according to the data provided by the problem:

[tex]v_A=15.6\\v_E=15.3[/tex]

The percentage error is:

[tex]Percentage\hspace{3}error=|\frac{15.6-15.3}{15.3}| \times 100 = 1.960784314\%\approx 1.96\%[/tex]

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