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mart [117]
3 years ago
13

the point 3,2 lies on a circle.what is the exact length of the radius of this circle if the center is located at (-1,-4)

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
You can use the distance formula to solve this.

Distance Formula:
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}

I am going to use point (3,2) as point 1 and (-1,-4) as point 2
Insert the points into the formula
d = \sqrt{(X_2 -X_1)^2 + (Y_2 - Y_1)^2}
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
Solve:
d = \sqrt{((-1) - 3)^2 + ((-4) - 2)^2}
d = \sqrt{(-4)^2 + (-6)^2}
d = \sqrt{16 + 36}
d = \sqrt{52}
d = \sqrt{52} = \sqrt{4}\sqrt{13}
d = \sqrt{52} = 2 \sqrt{13}
d = 2 \sqrt{13}
radius = 2 \sqrt{13} = 7.2111


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