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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?

User Themiurge
by
9.0k points

2 Answers

1 vote
(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
User Cajwine
by
8.0k points
2 votes

Answer:

13 units.

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)}

=
√(25+144)

=
√(169)

= 13 units.

User Fred Vanelli
by
7.4k points

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