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Examine the diagram and information to answer the question.


A circle in the coordinate plane has a radius of 5 and a center at point (5,4).

Point (x,y) lies on the circle.

The triangle formed by points (5,4), (5,y) and (x,y) is a right triangle.




What is the equation of the circle?


Match the expression or equation to the steps used to find the equation of the circle

Examine the diagram and information to answer the questionA circle in the coordinate plane has a radius of 5 and a center at point 54Point xy lies on the circle class=

Respuesta :

altavistard

Answer:

(x - 5)^2 + (y - 4)^2 = 5^2

Step-by-step explanation:

The length of the vertical leg of the triangle shown is the difference between the y-coordinates y and 4:  (y - 4); the length of the horizontal leg is (x - 5).

The hypotenuse has length 5.

Applying the Pythagorean Theorem a^2 + b^2 = c^2, we get:

(x - 5)^2 + (y - 4)^2 = 5^2

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