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QUESTION

# What is the equation of circle with center at (0,0) and radius of 7?

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]}