What is the equation of circle with center at (0,0) and radius of 7?
February 20th, 2023
##x^2+y^2=49##
The standard form of a circle with a center at ##(h,k)## and a radius ##r## is
##(x-h)^2+(y-k)^2=r^2##
Since the center is ##(0,0)## and the radius is ##7##, we know that
##{(h=0),(k=0),(r=7):}##
Thus, the equation of the circle is
##(x-0)^2+(y-0)^2=7^2##
This simplifies to be
##x^2+y^2=49##
graph{(x^2+y^2-49)=0 [-16.02, 16.03, -8.01, 8.01]}