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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

Best Answer 

 #1
avatar+19912 
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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
avatar+19912 
+2
Best Answer

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

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