Question

4.

Find the center and radius of the circle with the given equation.
(x + 7)^2 + (y – 5)^2 = 16
A) Center(7,5); r = 4
B) Center( -7,5); r = 4
C) Center(7,5); r = 16
D) Center(-7,5); r = 16

Answer 1

B

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 7)² + (y - 5)² = 16 ← is in standard form

with centre = (- 7, 5 ) and r =
`√(16)` = 4 → B