Question

The radius of the circle whose center is origin and passes through
(-3,4) is_____________
units.​

Answer 1

ANSWER = 5 units

$\boxed{radius \: = \sqrt{(x1 - x2) {}^{2} + (y1 - y2) {}^{2} } }$

$origin = (0,0)$

$r \: = \sqrt{(0 - ( - 3) {}^{2} + (0 - 4) {}^{2} }$

$r \: = \sqrt{ 9 + 16 }$

$r = \sqrt{25}$

$r = 5$

Answer 2

Answer:

√ (0+3)^2 +(0-4)^2

√3^2+(-4)^2

√9+16

√25

5

thus,

radius = 5 units