Question

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100

Answer 1

Answer:

The circle is centered at (-8,3) and has a diameter of 20 units

Step-by-step explanation:

The correct question is

Which is the center and the diameter of the circle?

we know that

The equation of a circle in center radius form is equal to

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

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem we have

$(x+8)^2+(y-3)^2=100$

so

The center is the point (-8,3)

The radius is

$r=\sqrt{100}=10\ units$

so

Remember that

The diameter is two times the radius

so

$D=2(10)=20\ units$

therefore

The circle is centered at (-8,3) and has a diameter of 20 units