Question

A circle is centered at (−3, 2) and has a radius of 2. Which of the following is the equation for this circle?

a
(x + 3)2 + (y − 2)2 = 2

b
(x − 3)2 + (y + 2)2 = 4

c
(x + 3)2 + (y − 2)2 = 4

d
(x − 3)2 + (y + 2)2 = 2

Answer 1

Answer:

c

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

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

here (h, k ) = (- 3, 2 ) and r = 2 , then

(x - (- 3) )² + (y - 2)² = 2² , that is

(x + 3)² + (y - 2)² = 4

Answer 2

Answer:

C. (x + 3)2 + (y − 2)2 = 2