kaylyncoronado2
Answered

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Find the equation of a circle with a center at (5, 7) where a point on the circle is (10, 19).

(x + 5)2 + (y + 7)2 = 13
(x - 7)2 + (y - 5)2 = 169
(x - 5)2 + (y - 7)2 = 169

Sagot :

andytran027

Answer:

[tex](x - 5)^2 + (y - 7)^2 = 13^2[/tex]

or

[tex](x - 5)^2 + (y - 7)^2 = 169[/tex]

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (5,7).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (5,7) and (x,y) =  (10,19) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(10 - (5))^2 + (19 - (7)^2 = r^2

(5)^2 + (12)^2 = r^2

25 + 144  = r^2

r^2 = 169

r = 13

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