Question

What are the center and radius of the circle with equation ( x − 4 ) 2 + ( y − 9 ) 2 = 1 ?open x minus 4 close squared . plus . open y minus 9 close

Answer 1

Answer:

Center of the circle is (4,9) and the radius of the circle is 1 unit

Step-by-step explanation:

Let r be the radius of the circle with center (a,b) and (x,y) be a point on the circle

General form of the equation of the circle is,

$(x-a)^{2}+(y-b)^{2}=r^{2}$

Here, equation of the circle is

$(x-4)^{2}+(y-9)^{2}=1\\ Equating\: it\: with\: the\: general\: form\\ of\: the\: equation\: (x-a)^{2}+(y-b)^{2}=r^{2}\\ we\: get \\ a=4\\ b=9\\ \\ r^{2}=1\\ \Rightarrow r=1$