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 measuremen

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.

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Allison 1 month 2021-10-22T18:07:20+00:00 1 Answer 0 views 0

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    2021-10-22T18:08:56+00:00

    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\%

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