What is the standard form of the equation of a circle with center (0,4) and radius 3/2?

1 Answer
Mar 28, 2018

Answer:

Equation of circle is #x^2+y^2-8y+13.75=0#

Explanation:

The center-radius form of the circle equation is

#(x – h)^2 + (y – k)^2 = r^2#, with the center being at the point

#(h, k)# and the radius being #r ; h=0,k=4,r=3/2=1.5#.

Equation of circle is #(x – 0)^2 + (y – 4)^2 = 1.5^2# or

#x ^2 + y^2 – 8y+16 - 2.25=0 or x^2+y^2-8y+13.75=0#.

Equation of circle is #x^2+y^2-8y+13.75=0#

graph{x^2+y^2-8y+13.75=0 [-20, 20, -10, 10]} [Ans]