Question

Radius I’m not sure if my answer is correct or not , if you could help that will help me greatly

Answer 1

The general form of equation of circle is :

`\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ \text{where, (a,b) are the center and r is the radius} \end{gathered}`

Given system of equation:

`(x+10)^2+(y-7)^2=16`

Simplify it into the general form

`\begin{gathered} (x+10)^2+(y-7)^2=16 \\ (x-(-10))^2+(y-7)^2=4^2 \end{gathered}`

On comparing with the general form we get

a = -10, b = 7, r = 4

Thus, radius = 4

Answer: D) 4