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21 votes
Determine the equation of the circle graphed below.

10
8
-10 -8
8
-6
-2
F
4
2
N
T
-6.
2
10

Determine the equation of the circle graphed below. 10 8 -10 -8 8 -6 -2 F 4 2 N T-example-1
User Roy Ash
by
8.3k points

1 Answer

8 votes

Answer:


= > {x}^(2) + {y}^(2) + 6x - 14y + 49 = 0

Explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be


= > {(x + 3)}^(2) + {(y - 7)}^(2) = {3}^(2)


= > ( {x}^(2) + 6x + 9) + ( {y}^(2) - 14y + 49) = 9


= > {x}^(2) + {y}^(2) + 6x - 14y + 49 = 0

User Novakov
by
8.1k points

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