help!!

[jeca86]

A window has the shape of a square surmounted by a semicircle. The base of the window is measured as having width 60cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum error possible in computing the area of the window.

 

[Gene]

The square is 2r by 2r
The semi circle is .5*pi*r^2
A=(4+.5*pi)*r^2
dA=(4+.5*pi)*2*r*dr
r=30
dr=.05
dA=(4+.5*pi)*2*30*.05=+16.7 cm²