Question

Give the equation for a circle with the given center and radius.Center at (-10, -4), radius = 5A. (x+10)2+(y+4)2=25B. (x−4)2+(y−10)2=5C. (x−10)2+(y−4)2=25D. (x+4)2+(y+10)2=5

Answer 1

We have a circle with center at (-10, -4) and a radius r = 5. We have to find its equation.

For a circle with center at (a,b) and radius r, the equation can be written as:

`(x-a)^2+(y-b)^2=r^2`

Then, we can replace the parameters with the values we have and obtain:

`\begin{gathered} (x-(-10))^2+(y-(-4))^2=5^2 \\ (x+10)^2+(y+4)^2=25 \end{gathered}`

Answer: (x + 10)² + (y + 4)² = 25 [Option A]