Mathematics

Question

The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is

1 Answer

  • Answer:

    The radius of the circle whose equation is (x - 3)² + (y + 1)² = 16 is:

                                  4 units.

    Step-by-step explanation:

    We know that the general equation of a circle with center at (h,k) and radius 'r' is represented by the equation:

           [tex](x-h)^2+(y-k)^2=r^2[/tex]

    Here we are given a equation as:

       [tex](x-3)^2+(y+1)^2=16[/tex]

    i.e. on comparing the given equation with the general equation we have

    h=3 and k= -1

    and [tex]r^2=16[/tex]

    on taking square root we get:

    [tex]r=4[/tex]

              Hence, the radius of the equation is:

                                4 units

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