Question

Will mark brainlist if correct and it’s due soon so please help. Use the information provided to write the standard form equation of each circle

Answer 1

Answer:

D

Step-by-step explanation:

Standard equation of the circle is at the origin $x^{2} +y^{2} = r^{2}$ But this is only when the center of the circle is at (0,0). In the quesiton stated the center is (-1/2, √57) .

When the center isn't (0,0) the equation is $(x-h)^{2} +(y-k)^{2} =r^{2}$ (h,k) is center and r is radius.

So inputting the center (-1/2, √57) and radius = in the equation:

$(x- -\frac{1}{2} )^{2} + (y-\sqrt{57} )^{2} = 9^{2}$

$(x+\frac{1}{2})^{2} + (y-\sqrt{57} )^{2} = 81$