Question

Which of the following equations describe a circle on the coordinate plane with a radius of 9 units

a.(x-9)
²+(y-9)
²=32

c.(x+3)
²-(y+3)
²

b.(x-3)
²+(y-3)
²=92

d.(x-9)
²+y-9)
²​

Answer 1

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line called the X-axis and a vertical line called the Y - axis.

There is no equation given which represent equation of circle having radius of 9 units.

Equation of circle  with center (h , k) is given by,

                          $(x-h)^{2} +(y-k)^{2} =r^{2}$

Where r represent radius of circle.

Here , radius r is given  9 units.

Substituting r = 9 in above equation of circle.

$(x-h)^{2} +(y-k)^{2} =9^{2}\\\\(x-h)^{2} +(y-k)^{2} =81$

Here, center (h, k) is not given.

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