GATE CE 2022 Set 2 — Question 29
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0EasyAbsolute & Relative ErrorNumerical Solution of EquationsEngineering Mathematics
Engineering Mathematics → Numerical Solution of Equations → Absolute & Relative Error
Last updated
Question
The error in measuring the radius of a circular rod was . If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is______. (round off to two decimal places)
Correct answer
0.39 to 0.41
Solution
The cross-sectional area of a circular rod is given by:Taking the natural logarithm on both sides:Differentiating both sides to find the relative error:The percentage error in the area is:Given that the percentage error in the radius is :Thus, the absolute percentage error is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.