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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

Verified Answer :

caylus

Hello,

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

Answer:

Correct option is:

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

Step-by-step 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

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