Question

The equation of a circle is (x+10)^2+(y-4)^2=100

What is the center and radius of the circle.
1.) Center-10,4); Radius: 10
2.) Center: (-10,4); Radius: 10,000
3.) Center10,-4);Radius: 10
4.) Center10,-4);Radius: 10,000

Answer 1

Hello,

Answer 1
Center=(-10,4)
radius=10

Answer 2

Correct option is:

1.) Center: (-10,4); Radius: 10

Explanation:

The equation of the circle centered at (a,b) and radius r is:

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

Here, we are given a equation:

`(x+10)^2+(y-4)^2=100`

On comparing this equation with the above equation, we get

a= -10

b=4

and r=10

Hence, Center of circle= (-10,4)

and Radius=10

Hence, Correct option is:

1.) Center: (-10,4); Radius: 10