Part 1: Identify the center and radius of each. Then sketch the graph. Please show work

1. (x + 4)^2 + (y + 1)^2 = 1

2. (x - 3)^2 + (y + 4)^2 = 9

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

4. (x + 3)^2 + (y - 1)^2 = 9

 1. Center = (-4, -1)     radius = 1

               2. Center = (3, -4)     radius = 3

               3. Center = (0, 2)      radius = 4

               4. Center = (-3, 1)     radius = 3

Step-by-step explanation:

The standard form of a circle is (x - h)² + (y - k)² = r²

1) (x + 4)² + (y + 1)² = 1

  (x - (-4))² + (y - (-1))² = 1²         →    (h, k) = (-4, -1)       r = 1

2) (x - 3)² + (y + 4)² = 9

   (x - (3))² + (y - (-4))² = 3²       →    (h, k) = (3, -4)      r = 3

3) x² + (y - 2)² = 16

  (x - (0))² + (y - (2))² = 4²        →   (h, k) = (0, 2)      r = 4

4) (x + 3)² + (y - 1)² = 9

   (x - (-3))² + (y - (1))² = 3²       →   (h, k) = (-3, 1)     r = 3

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches