Question
Asked Sep 30, 2019
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(4) A group of students measured the ratio of circumference to diameter to be 3.34. The reference value is 3.14. Determine the following:

(a) Error

 

 

(b) Percentage fractional error 

 

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Expert Answer

Step 1

Given:

Student obtained the ratio of circumference and the diameter of the circle = 3.34

Reference value = 3.14

Step 2

Calculating the error and percentage frac...

(a) Error
Obtained valule - reference value |
3.34 3.14
Error
0.20
(b) Fractional error
(Error)/Reference value
0.20/3.14
0.0637
Percentage fractional error = Fractional error X 100%
=0.0637 x 100%
=6.37%
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(a) Error Obtained valule - reference value | 3.34 3.14 Error 0.20 (b) Fractional error (Error)/Reference value 0.20/3.14 0.0637 Percentage fractional error = Fractional error X 100% =0.0637 x 100% =6.37%

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