Question

Determine the equation of the circle graphed below. (pt 3 of help fast)

Answer 1

Circular Equations

Circular equations are typically organized in the following format:

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

• (h,k) is the center of the circle
• r is the radius

Solving the Question

We're given:

• The center of the circle: (-4,-7)
• The radius: 2 units

Plug these given values into the formula:

$(x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4$

Answer

$(x+4)^2+(y+7)^2=4$