Question

Which of the following represents the equation of the circle in standard form?

Answer 1

Given:

A graph have circle drawn on it.

Required:

Write Standard equation of circle.

Step-by-step explanation:

We know the standard equation of circle is

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

Where, (h, k ) is center of circle and r is radius.

Now,

From graph we can see that Center is (-3, 0) and radius is 7.

So,

`\begin{gathered} (x-(-3))^2+(y-0)^2=7^2 \\ (x+3)^2+y^2=49 \end{gathered}`

Answer:

Hence, option A is correct.