# Linear Approximations and Differentials question. (Calculus 1)?

**Question 1)
The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm.
(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.)
_____cm^2
(b) What is the relative error? (Round your answer to four decimal places.)
_____
What is the percentage error? (Round your answer to two decimal places.)
_____%
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Question 2)
One side of a right triangle is known to be 15 cm long and the opposite angle is measured as 30Â°, with a possible error of Â±1Â°.
(a) Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)
Â± _____cm
(b) What is the percentage error? (Round your answer to the nearest integer.)
Â± _____%
**

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