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Fencing encloses a rectangular backyard that measures 200 feet by 600 feet. A blueprint of the backyard is drawn on the coordinate plane so that the rectangle has vertices (0,0),(0,30),(10,30) , and (10,0) .

A circular flower garden is dug to be exactly in the center of the backyard, with a radius of 40 feet. This garden is represented on the blueprint.

What is the equation of the flower garden represented on the blueprint?

 

 Nov 20, 2019
 #1
avatar+10795 
+2

What is the equation of the flower garden represented on the blueprint?

laugh

 Nov 20, 2019
edited by Omi67  Nov 20, 2019
 #2
avatar+105370 
+2

The center  of the circle   is   ( 5, 15)

 

So....the equation of the circle is

 

(x - 5)^2  + (y -15)^2  = 40^2

 

(x - 5)^2  + (y -15)^2   =  1600

 

Here's a pic :

 

 

 

cool cool cool

 Nov 20, 2019
 #3
avatar
+1

I suppose we should be thankful that it's just a flower bed, and not a pond.

Guest Nov 21, 2019

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