Question

Write the equation of the circle.

A circle with a diameter having endpoints at (0, 1) and (6,-4)​

Answer 1

(x - 3)² + (y + 1.5)² = 15.25

Explanation:

Centre: midpoint of the diameter

(h,k) = (0+6)/2, (1-4)/2

= (3, -3/2)

Radius = ½(diameter)

Diameter = sqrt(6² + (-4-1)²)

sqrt(61)

Radius = sqrt(61)/2

Equation:

(x - h)² + (y - k)² = r²

(x - 3)² + (y + 1.5)² = 15.25