Write the equation of a circle with a center at (2.5, - 3.5) and a diameter of 12.

Choices are

x + 2.5) 2 + (y - 3.5) 2 = 12

(x - 2.5) 2 + (y + 3.5) 2 = 36

(x + 2.5) 2 + (y - 3.5) 2 = 36

(x - 2.5) 2 + (y + 3.5) 2 = 144

second option

Step-by-step 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

Here diameter = 12, thus radius = 12 : 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5) ² + (y - ( - 3.5)) ² = 6², that is

(x - 2.5) ² + (y + 3.5) ² = 36 ← equation of circle