Question

Write an equation in standard form for the circle shown.

Answer 1

Radius = 7
center = (-3, 1)

Equation for a circle is: r² =  (x-h)² + (y-k)²
where r = radius, (h,k) = center
fill in the values to get:
7² = (x+3)² + (y-1)²

Answer is C

Answer 2

Answer:   C)  $(x+3)^2+(y-1)^2=49$

Step-by-step explanation:

From the given figure it can be seen that the centre of the circle is at (-3,1)

and the distance from the center to the boundary = 7 units.

i.e. radius of the given circle = 7 units

We know that , the standard equation of circle is given by :-

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

Therefore, the equation of the given circle will be:-

$(x-(-3))^2+(y-1)^2=7^2\\\\\Rightarrow\ (x+3)^2+(y-1)^2=49$