The diameter of circle q terminates on the circumference of the circle at (3,0) and (-4,0). write the equation of the circle in standard form. show all of your work for full credit.

Step-by-step explanation:

Here, The diameter of Circle Q terminates on the circumference of the circle at (3,0) and (-4,0),

⇒ The center of the circle = Mid point of the line segment that shows the diameter

= Mid point of (3,0) and (-4,0),

=

=

= (- 0.5, 0 )

Now, the diameter of the circle = Distance between the points (3,0) and (-4,0),

=

=

=

⇒ The radius of the circle = 7/2 = 3.5 unit  ( radius = diameter/2)

Since, the standard form equation of the circle is (x-h)² + (y-k)² = r²

Where (h,k) is the center of the circle and r is the radius of the circle,

Thus, The standard form of the given circle is,

the correct option is b

step-by-step explanation:

answer: b f g .

step-by-step explanation: