Find the equation of the circle with center at (3, 2) and through the point (5, 4).

(x - 3)² + (y - 2)² = 8

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

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

To find r use the distance formula

r = √(x₂ - x₁)² + (y₂ - y₁)²

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (5, 4)

r = = =

(x - 3)² + (y - 2)² = ()²

(x - 3)² + (y - 2)² = 8 ← equation of circle

hi do you need an answer for your question?

step-by-step explanation:

the answer for the question that you are asking is 4