Mathematics
Grade9
Easy

Question

Find the center and radius of the circle.

  1. (0, 0) and r = 1
  2. (0, 0) and r = 2
  3. (0, 0) and r = 3
  4. (0, 0) and r = 4

hintHint:

The radius of circle is the distance between center of circle and any point on the circle. Using distance between two points formula find radius.

The correct answer is: (0, 0) and r = 2


    Given, The centre of circle is (0, 0)
    The circle passes through the point (0, 2)
    Radius of circle = Distance between centre (0,0) and the point that lies on the circle (0.2)
    equals square root of left parenthesis 0 minus 0 right parenthesis squared plus left parenthesis 2 minus 0 right parenthesis squared end root
equals square root of 0 plus 4 end root
equals square root of 4
equals 2 text  units  end text
    Therefore, (0,0) and r = 2 are the centre and radius of the circle respectively.

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