Respuesta :

Answer:

Correct answer:  (x - 10)² + y² = 441 / 4

Step-by-step explanation:

Given:

(a, b) = (10, 0)  the coordinates of the center of the circle

(10, 21/2)  circle passing through this point

The standard form of the circle equation is:

(x - a)² + (y - b)² = r²  where r is radius of the circle

We will replace the given coordinates of the center of the circle and the point it passes through to get the radius of the circle:

(10 - 10)² + (21/2)² = r²  ⇒ r² = (21/2)² = 441 / 4

r² = 441 / 4

(x - 10)² + y² = 441 / 4

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