Question

4.

What is the equation of the circle with a radius of 5 and center at (2, 3)?
AO (x + 2)2 + (y + 3)2 = 25
BO (x - 2)2 + (y - 3)2 = 25
CO (x - 2)2 + (y - 3)2 = 5
D. (x + 2)2 + (y + 3)2 = 5

Answer 1

the answer is A

Step-by-step explanation: since the radius is 5 and we have (2,3) then we are going into 2 and 3 the x and y represent 5 so the answer wouldn't be 5 then you would have done no work. so it is A. i suck at explaining things hope this helps!

Answer 2

Explanation:

`general \: equation \\ {x}^(2) + {y}^(2) + 2gx + 2fy + c = 0 \\ centre : ( - g, - f) = (2,3) \\ g = - 2 \: and \: f = - 3 \\ c = {g}^(2) + {f}^(2) - {r}^(2) \\ c = {( - 2)}^(2) + {( - 3)}^(2) - {(5)}^(2) \\ = - 12 \\ therefore \\ {x}^(2) + {y}^(2) - 2x - 3y - 12 = 0`