Question

Calculation shows that an angle is 37 1/2°.The size obtained by drawing and Measurement is 35 degree find the error percentage

Answer 1

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Answer is
$the \: error \: percent = \frac{75}{2} - 35 \div \frac{75}{2} \times 100\% \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{75 - 70}{2} \times \frac{2}{75} \times 100\% \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{5}{2} \times \frac{2}{75} \times 100 \% \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{20}{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \frac{2}{3}$

Answer 2

Given :  Calculation show that an angle is   37  1/2°

The size obtained by drawing and measurement is 35°

To Find : error per cent.

Solution:

Calculation show that an angle is  37  1/2°

Hence angle is 75/2

measurement  shows that its 35

Error   =  35 - (75/2)  =  - 5/2

Error  percentage = 100 *(-5/2)/(75/2)

= - 20/3 %

= - 6.67 %

There is - 6.67 % Error in measurement

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