Question

Mr. Iwan wanted his students to graph the following circles on the same coordinate plane.Circle 1:Circle 2:Circle 3:

Answer 1

Given : Equation of three circles are given by Mr. Iwan to his students

To find : Circles need to be drawn on coordinate plane

Solution:

Equation of circle = (x - h)² + (y - k)² = r²

(h, k) - center of circle   & r = radius

Circle 1 :   x²  + (y + 4)²  = 36

(x - 0)² + (y -(-4))² = 6²

Center = ( 0 , - 4)    Radius  =  6

Circle 2 :   (x-5)²  + (y - 4)²  = 16

(x - 5)² + (y -(4))² = 4²

Center = ( 5 ,  4)    Radius  =  4

Circle 3 :   (x+5)²  + (y - 4)²  = 16

(x - (-5))² + (y -(4))² = 4²

Center = ( -5 ,  4)    Radius  =  4

Now Circles has been using drawn using center point & radius of circle

see attachment

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