Mathematics
Grade9
Easy

Question

In the equation left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 64, the radius of the circle is _____________.

  1. 8
  2. 9
  3. 4
  4. 1

hintHint:

The standard 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
Compare the given equation with standard equation of a circle and find r.

The correct answer is: 8


    The standard 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
    In circle left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 64,
    Upon comparingleft parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 64 with standard equation of a circle then we get
    r squared equals space 64
r space equals space square root of 64 space equals space 8
    Therefore, the radius of circle  left parenthesis x minus 1 right parenthesis squared plus left parenthesis y minus 3 right parenthesis squared equals 64 is 8.

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