Write the standard form of the equation of the circle with the given characteristics. Center: (3, 9); Solution point: (−2, 21)

Given:

Center of a circle is (3,9).

Solution point is (-2,21).

To find:

The standard form of the circle.

Solution:

Radius is the distance between center (3,9) and the solution point (-2,21).

On further simplification, we get

The radius of the circle is 13 units.

The standard form of a circle is

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

Putting h=3, k=9 and r=13, we get

Therefore, the standard form of the circle is .

360 different combinations