11. Find the equation for the circle with center (−2,−3) and passing through (1,5).

Question

asked Apr 13, 2023 2.5k views

1 Answer

Smitty · Answer 1 · 2023-04-18T21:21:58+0000

Answer:

(x +2)² + (y+3)² = 73

Use the distance formula to find radius:

$\sf d = √((x_2 - x_1)^2 + (y_2-y_1)^2)$

where (x1, y1), (x2, y1) are points

$\rightarrow \sf √((-2-1)^2+(-3-5)^2)$

$\rightarrow \sf √(73)$

Eqaution of circle:

(x-h)² + (y-k)² = r²

(x-(-2))² + (y-(-3))² = (√73)²

(x +2)² + (y+3)² = 73