Answer:
(x - 1)² + y² = 81/4
Step-by-step explanation:
First, we need to calculate the distance from (1, 0) to (1, 9/2). This distance is equal to
9/2 - 0 = 9/2
Because they both have the same x-coordinate. It means that the radius of the circle is 9/2.
Then, an equation of a circle with radius r and center (h, k) is
(x - h)² + (y - k)² = r²
Replacing (h, k) = (1, 0) and r = 9/2, we get
(x - 1)² + (y - 0)² = (9/2)²
(x - 1)² + y² = 81/4
Therefore, the answer is
(x - 1)² + y² = 81/4