Dilation of Circles on Coordinate Plane Exercise

Dilation of Circles on Coordinate Plane

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Dilation of Circles on Coordinate Plane

Scale circles on the coordinate plane by altering their radii according to a given scale factor. Determine new equations, radii, and positions of dilated circles.

Questions

  1. MultiChoice

    When a circle of radius r is dilated by scale factor k, what is the new radius r'?

  2. MultiChoice

    A circle has radius 5 units. What is the radius of the image after dilation with k = 3?

  3. MultiChoice

    A circle centered at (3, 4) with radius 2 is dilated by k = 2 about origin. What is the new center?

  4. MultiChoice

    A circle centered at (3, 4) with radius 2 is dilated by k = 2 about origin. What is the new radius?

  5. MultiChoice

    A circle has area 4 pi sq units (radius 2). Dilated by k = 3, what is the new area?

  6. MultiChoice

    A circle has circumference 4 pi units. Dilated by k = 4, what is the new circumference?

  7. MultiChoice

    Any two circles on the coordinate plane are:

  8. MultiChoice

    Circle centered at (4, -6) with radius 10 is dilated with k = 0.5 about origin. Find new center.

  9. MultiChoice

    Circle centered at (4, -6) with radius 10 is dilated with k = 0.5 about origin. Find new radius.

  10. MultiChoice

    If circle C1 has area 9 pi and circle C2 has area 36 pi, what scale factor maps C1 to C2?

  11. MultiChoice

    If a circle's center is the center of dilation, where is the image circle's center?

  12. MultiChoice

    Circle has diameter 18 units. After dilation with k = 1/3, what is the new radius?