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The equation (x − 5)2 + (y + 3)2 = r2 represents circle T. The point S(-1,6) lies on the circle. What is r, the length of the radius of circle T?

Respuesta :

proz

Answer:

r = 2.4  

Step-by-step explanation:

First of all, note that point S(-1,6) corresponds to S(x,y), therefore:

x = -1

y = 6

Now putting the value of x and y into the equation: (x − 5)2 + (y + 3)2 = r²

(x − 5)2 + (y + 3)2 = r²

(-1 − 5)2 + (6 + 3)2 = r²

(-6)2 + (9)2 = r²

-12 + 18 = r²

6 = r²

r = √6 = 2.4

∴ r = 2.4

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