Write an equation of the circle given its center and radius

Answer:
[tex](x-2)^2+(y-3)^2=0.25.[/tex]
Step-by-step explanation:
If the center of the circle is (2,3) and the diameter of the circle is 1, then the radius is [tex]\dfrac{1}{2}.[/tex]
The equation of the circle with center [tex](x_0,y_0)[/tex] and radius r is
[tex](x-x_0)^2+(y-y_0)^2=r^2.[/tex]
In your case, the equation is
[tex](x-2)^2+(y-3)^2=0.25.[/tex]
Answer:
(x-2)²+(y-3)² = 0.25
Step-by-step explanation:
We have given that
Center = (2,3) ; Diameter = 1
We have to find the equation of circle.
The equation of circle is :
(x-h)²+(y-k)² = r² where (h,k) is the center of circle and r is the radius.
d = r/2
d = 1/2 = 0.5
(h,k) = (2,3)
Putting values in above equation, we have
(x-2)²+(y-3)² = (0.5)²
(x-2)²+(y-3)² = 0.25 which is equation of circle.