You are using a math software program to make a pattern for a plastic part. You draw the pattern on a coordinate plane with units in millimeters and the bottom left corner as the origin. Write an equation for the circular hole.

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You are using a math software program to make a pattern for a plastic part You draw the pattern on a coordinate plane with units in millimeters and the bottom l class=

Respuesta :

Answer: (x - 2) ^2 + (y - 6) ^2 = 25

Answer:

  • (x - 48)² + (y - 24)² = 64

Step-by-step explanation:

From the graph we see that

  • The diameter of the circle is: d = 16 mm
  • Then its radius is: r = 16 mm/ 2 = 8 mm
  • The center has x-coordinate: h = 40 + 8 = 48
  • Y-coordinate: k = 32 - 8 = 24

Use circle formula:

  • (x - h)² + (y - k)² = r²

Substitute values to get required equation:

  • (x - 48)² + (y - 24)² = 8²
  • (x - 48)² + (y - 24)² = 64