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Problem

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Textbook Expert
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23 Nov 2021

Given information

The area of the circular metal disk is .

The tolerance in the area of the disk is .

The value of is .

Step-by-step explanation

Step 1.
  • The tolerance in the area of the disk is .
  • Write the inequality by using the fact that tolerance in the area of the disk is and the area of the disk is .
  • Consider as radius and as . The area is given by . Therefore . That implies .
  • It can be observed that .
  • Substitute for in the equation (1).
  • Let the tolerance in the radius as .
  • Write the inequality involving the fact that the tolerance of the radius is .
  • Substitute the value of in the equation (3).

 

 

 

 

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