Question

Which equation represents a circle with a radius of 7 and a center with coordinates (-2,5)?

Answer 1

Answer:

The equation is:

$(x+2)^2+(y-5)^2=49$ (simplified if needed)

or

$(x+2)^2+(y-5)^2=7^2$

Step-by-step explanation:

The equation of a circle is :

$(x-h)^2+(y-k)^2=r^2$ where the center is $(h,k)$ and radius $r$.

-So, putting the radius 7 and the center (-2,5) on the equation, would be:

$(x+2)^2+(y-5)^2=7^2$

-when you put them onto that equation, the radius needs to be simplified by the exponent if needed:

$(x+2)^2+(y-5)^2=49$