What is the equation of a circle with diameter ab that has endpoints a(0, 0) and b(8, 6)?

a. (x − 4)2 + (y − 3)2 = 25

b. (x − 3)2 + (y − 4)2 = 5

c. (x − 4)2 + (y − 3)2 = 5

d.(x − 3)2 + (y − 4)2 = 25

A.

Step-by-step explanation:

Radius:

The length of diameter is the distance between A and B.

Centre:

Since A and B are end points of the diameter, centre is the mid point of these two. Let be the centre of the circle.

Centre is

Equation of circle:

If is the centre of the circle and be the radius. Equation of circle is given by: