Question

Write the standard form of the equation of the circle described below. (6,-7) r=9

Answer 1

Solution

Step 1

write out the expression for the equation of a circle

$(x-h)^2+(y-k)^2=r^2$

Where the centers are (h,k)

h = 6

k = -7

r = 9

Step 2

Write out the required equation of the circle using the parameters

$\begin{gathered} \text{The required equation thus is} \\ (x-6)^2+(y-(-7))^2=9^2 \\ (x-6)^2+(y+7)^2=81_{} \end{gathered}$