Question

Question 22 (2 points)

What is the radius and the center of the circle?

(x - 3)2 + (y + 2)2 = 16

Radius = 4, Center = (3,-2)

Radius = 4, Center = (3, 2)

Radius = 8, Center = (3,-2)

Radius = 8, Center = (3, 2)

mm

Answer 1

Radius = 4, Center = (3,-2)

Explanation:

The equation of a circle has the following format:

`(x - x_(0))^(2) + (y - y_(0))^(2) = r^(2)`

In which r is the radius(half the diameter) and the centre is the point
`(x_(0), y_(0))`

In this question, we have that:

`x_(0) = 3, y_(0) = -2, r^(2) = 16`

So the center is (3,-2) and the radius is
`r = √(16) = 4`

So the correct answer is:

Radius = 4, Center = (3,-2)