Mathematics
Grade9
Easy

Question

What is the equation of the circle when the radius is 6 going through the origin?

  1. x squared plus y squared equals 6
  2. x squared plus y squared equals 3
  3. x squared plus y squared equals 36
  4. x squared plus y squared equals 16

hintHint:

The General equation of a circle with center left parenthesis h comma k right parenthesis spaceand radius r is: left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared equals r squared.

The correct answer is: x squared plus y squared equals 36


    The equation of a circle with center (h, k) and radius r is: left parenthesis x minus h right parenthesis squared plus left parenthesis y minus k right parenthesis squared equals r squared
    The equation of circle with center (0, 0) and radius 6 is
    Here, h = 0 , k = 0  and r = 6 then left parenthesis x minus 0 right parenthesis squared space plus left parenthesis y minus 0 right parenthesis squared space equals space 6 squared
    x squared plus y squared equals 6 squaredrightwards double arrow x squared plus y squared equals 36
    Therefore, x squared plus y squared equals 36 is the equation of the circle when the radius is 6 going through the origin.

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