Three of the four vertices of a rectangle are (5, 11), (16, 11) and (16, -2). What is the area of the intersection of this rectangular region and the region inside the graph of the equation \((x - 5)^2 + (y + 2)^2 = 9\)? Express your answer in terms of \(\pi\).
+36916 Here is a graph of the rectangle (the 4th corner is 5,-2) and the equation of the circle....
I think you can see the area in question is 1/4 the area of the circle:
https://www.desmos.com/calculator/eno5sm5r56
+36916 Here is a graph of the rectangle (the 4th corner is 5,-2) and the equation of the circle....
I think you can see the area in question is 1/4 the area of the circle:
https://www.desmos.com/calculator/eno5sm5r56
