Morgymorgyo
Morgymorgyo Morgymorgyo
  • 25-03-2021
  • Mathematics
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Write the equation of a circle with the center K(7, 12) and passes through a point J(7, 10) ​

Write the equation of a circle with the center K7 12 and passes through a point J7 10 class=

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mhanifa
mhanifa mhanifa
  • 25-03-2021

Answer:

  • (x - 7)² + (y - 12)² = 4

Step-by-step explanation:

The center is K(7, 12)

Any point on the circle is connected with the center is the radius.

Since x-coordinates of the center and the given point are same, the radius is the difference of y- coordinates:

  • r = 12 - 10 = 2

The equation:

  • (x - 7)² + (y - 12)² = 2² ⇒ (x - 7)² + (y - 12)² = 4
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