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MAVERICK [17]
3 years ago
13

The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Pls explain and I wi

ll mark brainliest!

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

  • Option 4

Step-by-step explanation:

Midpoint of the diameter is the center.

<u>Use midpoint formula to determine the coordinates:</u>

  • x = (2 - 4)/2 = -1
  • y = (5 + 13)/2 = 9

<u>Find the radius using the midpoint and one of the endpoints and the distance formula:</u>

  • r = \sqrt{(-1 - 2)^2 + (9 - 5)^2}  = \sqrt{9+16} = \sqrt{25} = 5

<u>Use the equation of the circle:</u>

  • (x - (-1))² + (y - 9)² = 5²
  • (x + 1)² + (y - 9)² = 25

Correct choice is 4

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[ Answer ]


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4 0
4 years ago
What are the dimensions of the pond? Please help.
balu736 [363]

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