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never [62]
3 years ago
6

. Write the equation for a circle with center (0, −4) and radius 8.

Mathematics
1 answer:
balu736 [363]3 years ago
8 0
<h2>Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0</h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

          (x-h)²+(y-k)² = r²

Here we need to find equation for a circle with center (0, −4) and radius 8.

Center = (h,k) = (0, −4)

Radius = r = 8

Substituting in equation

              (x-h)²+(y-k)² = r²

               (x-0)²+(y-(-4))² = 8²

               x²+(y+4)² = 64

                x²+y²+8y+16 = 64

                x²+y²+8y-48 = 0

Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0

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