Question

11. Find the equation for the circle with center ​(−2​,4​) and passing through ​(5​,−3​).

Answer 1

(-2,4) I’m not that good at math pls tell me if I’m wrong

Answer 2

In standard form: (x+2)² + (y-4)² = 98

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 d = √((-2 - 5)^2 + (4-(-3))^2)`

`\rightarrow \sf d = √((-7)^2 + (7)^2)`

`\rightarrow \sf d = 7√(2)`

Equation of circle:

• (x-h)² + (y-k)² = r²

• (x-(-2))² + (y-4)² = (7√2)²

• (x+2)² + (y-4)² = (7√2)²

• (x+2)² + (y-4)² = 98