Question

Please please help me

Answer 1

(x - 3)² + (y - 2)² = 17

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 the radius

here (h, k) = A(3,2), thus

(x - 3)² + (y - 2)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 1, 1) ← point on circle

r =
`√((-1-3)^2+(1-2)^2)` =
`√((-4)^2+(-1)^2)` =
`√(17)`

Hence r² = (
`√(17)` )² = 17

(x - 3)² + (y - 2)² = 17 ← equation of circle