Question

The side of a square floor tile is measured to be 12 inches, with a possible error of 1/32 inch. Use differentials to approximate the possible propagated error in computing the

area of the square.
±
in²

Answer 1

Explanation:

r=12 in

dr=±32

A=πr²

dA=2 πr×dr=2π×12×1/32=3π/4

Possible error in computing the area=3π/4 ~square~inches.