Question

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.

Someone plz help me >_<​

Answer 1

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

Answer 2

• (x - 48)² + (y - 24)² = 64

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