Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other ...

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Comprehension \( \quad \) When numbers having uncertainties or errors are used to compute other numbers, these will be uncertain. It is especially important to understand this when a number obtained from measurements is to be compared with a value obtained from theoretical prediction. Assume a student wants to verify the value of \( \pi \) as the ratio of circumference to diameter of a circle. The correct value of ten digits is 3.141592654 . He draws a circle and measures its diameter and circumference to its nearest millimeter obtaining the values \( 135 \mathrm{~mm} \) and \( 424 \mathrm{~mm} \), respectively. Using a calculator he finds \( \pi=3.140740741 \).
Why does measured value not match with calculated value?
(a) Due to systematic error
(b) Due to error in calculation
(c) Due to random error
(d) Lack of precision in measuring
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