The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.) % (b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 1%. (Round your answer to one decimal place.) 0
The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.) % (b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 1%. (Round your answer to one decimal place.) 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem Statement:**
The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter.
**Tasks:**
(a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.)
\[ \text{Percent Error:} \ \_\_ \% \]
(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 1%. (Round your answer to one decimal place.)
\[ \text{Maximum Allowable Percent Error:} \ \_\_ \% \]
**Assistance:**
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Transcribed Image Text:**Problem Statement:**
The measurement of the circumference of a circle is found to be 70 centimeters, with a possible error of 0.9 centimeter.
**Tasks:**
(a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.)
\[ \text{Percent Error:} \ \_\_ \% \]
(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 1%. (Round your answer to one decimal place.)
\[ \text{Maximum Allowable Percent Error:} \ \_\_ \% \]
**Assistance:**
Need Help?
- Read It
- Watch It
\[ \text{Submit Answer} \]
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