Respuesta :
The distance between these two points is the radius of the circle. The pyth. theorem is useful in solving this problem. You need to construct a right triangle first where the hypotenuse is the length between the points.
The two other side lengths: 1-(-3)=4 and 4-2=2
Now let us use the pyth. theorem to find the hypotenuse:
x^2=4^2+2^2
x^2=20
x=√20
x=2√5
radius = 2√5
Step-by-step explanation:
Calculate distance from (1,2) to (-3, 4)
the x values, 1 and -3, are 4 units apart from each other.
the y values, 2 and 4, are 2 units apart from each other.
create a triangle using the distances, where 4 is the horizontal and 2 is the vertical. then use Pythagorean theorem to solve for hypotenuse (radius)
2^2 + 4^2 = 20
√20 = 4.47