Can someone tell me why my answer is incorrect.
The area of the circle segment is given by
The radius r is measured with a maximum percentage error of 0.2% and (the angle subtended at the circle's center) is measured as 45 degrees with a maximum error of 0.1 degrees. Find the approximately the maximum percentage error in the calculated area.
This is my attempt on the question:
A = 0.0391456911
Maximum error is
Here are my calculations (the r's can be dropped as they cancel):
and given the prescission of the errors we should round this to 1 digit, that is 1%Code:> > >theta=pi/4 0.785398 > >deltaA=(theta-sin(theta))*0.002+(1/2)*(1-cos(theta))*(0.1*pi/180) 0.00041218 > > >A=(1/2)*(theta-sin(theta)) 0.0391457 > >deltaA/A*100 1.05294 >