Question

(19 POINTS!) FIND THE CENTER AND RADIUS OF THE CIRCLE

Answer 1

Given the equation, the center of the circle is (0,-8) and the radius of the circle is 2.

Explanation:

The equation we are given is x² + (y + 8)² = 4

When we see that there is nothing being added nor subtracted to x, then we can conclude that the value of x is 0. When we see that 8 is being added to y , 8 is actually a negative number when graphed. So, the value of y is -8.

So, the center of the circle is (0,-8).

Now, for the radius, we will have to calculate the square root of 4. This is because the original equation for a circle is x² + y² = r².

`√(4)=2`

So, the radius of the circle is 2.

So, your answer will be letter choice B.