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Slav-nsk [51]
3 years ago
5

If the end points of the diameter of a circle are (9,4) and (5,2) what is the standard form equation of the circle

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

Answer:

(x - 7)² + (y - 3)² = 5

Step-by-step explanation:

The center (h , k) is the midpoint of two end points of diameter

h = (9 + 5) / 2 = 7

k = (4 + 2) / 2 = 3

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

r = (√(9 - 5)² + (4 - 2)²) / 2 = √5

Equation: (x - 7)² + (y - 3)² = 5

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