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AleksAgata [21]
3 years ago
12

Write the equation of the circle with the given center and radius.

Mathematics
1 answer:
34kurt3 years ago
4 0

Step-by-step explanation:

The standard equation of a circle is (x - h)^2 + (y - k)^2 = r^2

Center = (h, k)

#1

Center = (0,2)

h = 0

k = 2

r = 5

(x - h)^2 + (y - k)^2 = r^2

(x - 0)^2 + (y - 2)^2 = 5^2

#2

Center = (-4,-5)

h = -4

k = -5

r = \sqrt{2}

(x - h)^2 + (y - k)^2 = r^2

(x - (-4))^2 + (y - (-5))^2 = \sqrt{2}^2

(x + 4))^2 + (y + 5))^2 = \sqrt{2}^2

#3

Center =(-1,3)

h = -1

k = 3

r = 8

(x - h)^2 + (y - k)^2 = r^2

(x - (-1))^2 + (y - 3)^2 = 8^2

(x + 1)^2 + (y - 3)^2 = 8^2

#4

Center: (9,0)

h = 9

k = 0

r = \sqrt{3}

(x - h)^2 + (y - k)^2 = r^2

(x - 9)^2 + (y - 0)^2 = \sqrt{3}^2

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