Question

5. Find the center and radius of the circle with the given equation.

(x + 4)^2 + (y - 1)^2 = 25
A) Center(-4,1); r = 5
B) Center(4, -1); r = 5
C) Center(-4,1); r = 25
D) Center(4, -1); r = 25

Answer 1

A

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 + 4)² + (y - 1)² = 25 ← is in standard form

with centre = (- 4, 1 ) and r =
`√(25)` = 5 → A