Question

A circle is represented by the equation below:

(x − 9)2 + (y + 8)2 = 16

Which statement is true?

a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.

Answer 1

The center is (9,-8) and the diameter is 8

Explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius

(x − 9)^2 + (y - -8)^2 = 4^2

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8