Find the area of the shaded region in the figure below, if the radius of the outer circle is 10 and the radius of the inner circle is 8. Keep your answer is terms of pi.

I assume that the figure your figure is like this:

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints