Write the equation in standard form for the circle that has a diameter with endpoints (5,0) and (–5,0).

The equation of the circle is

Explanation:

Given that the endpoints of the circle.

The coordinates of the endpoints are (5,0) and (-5,0)

Center:

The center of the circle can be determined using the midpoint formula,

Substituting the diameters of the circle (5,0) and (-5,0), we get,

Thus, the coordinates of the center is (0,0)

Radius:

The radius of the circle can be determined using the distance formula,

Substituting the center (0,0) and one of the endpoints (5,0), we get,

Thus, the radius of the circle is 5 units.

Equation of the circle:

The equation of the circle can be determined using the formula,

where center = (h,k) = (0,0) and r = 5 units

Substituting, we get,

Thus, the equation of the circle in standard form is