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blsea [12.9K]
3 years ago
15

A circle has its center at the origin, and (5, -12) is a point on the circle. How long is the radius of the circle?

Mathematics
2 answers:
kolezko [41]3 years ago
5 0
(x-center)^2+(y-center)^2=r^2
x^2+y^2=r^2
(5)^2+(-12)^2=r^2
25+144=r^2
169=r^2
r=13
Alborosie3 years ago
3 0

Answer:

13 units.

Step-by-step explanation:

A circle has center at origin and a point (5, -12) is given on the circumference.

Then we have to calculate the length of its radius formula to find the length between two points is

Distance = \sqrt{(x-x')^{2}+(y-y')^{2}}

              = \sqrt{(0-5)^{2}+(0+12)^{2}}

               = \sqrt{25+144}

                = \sqrt{169}

                = 13 units.

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