Question

Write the equation of the circle with the given center and point on the circle.

The center is (3, 2). A point on the circle is (5, 2)?

Answer 1

(x -3)² +(Y -2)² = 4

Explanation:

You want the equation of a circle centered at (3, 2) containing point (5, 2).

Radius

The two given points lie on the horizontal line y=2. The distance between them is the difference of their x-coordinates: 5 -3 = 2. This is the radius of the circle.

Equation

The equation of a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

For (h, k) = (3, 2) and r = 2, the equation is ...

(x -3)² +(y -2)² = 4