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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 $$\pi$$.

Oct 9, 2019

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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

Oct 9, 2019
edited by ElectricPavlov  Oct 9, 2019

#1
+19324
+2

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

ElectricPavlov Oct 9, 2019
edited by ElectricPavlov  Oct 9, 2019