Question

24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .

Answer 1

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

In this question, we have that:

$(x + 15)^2 + (y - 9)^2 = 25$

Comparing both equations:

$x - x_0 = x + 15$

$x_0 = -15$

And

$y - y_0 = y - 9$

$y_0 = 9$

The center is $(-15,9)$.

For the radius:

$r^2 = 25$

$r = \sqrt{25} = 5$

The correct answer is given by option a.