Question

a circle has a center at (1,-2) and a radius of 4. does the point (3.4,1.2) lie on the circle? justify your answer​

Answer 1

Answer:

YES

Step-by-step explanation:

If point (3.4, 1.2) lies on a circle, the distance between this point and the center (1, -2) is equal to the radius r = 4.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute:

$d=\sqrt{(1-3.4)^2+(-2-1.2)^2}=\sqrt{(-2.4)^2+(-3.2)^2}\\\\=\sqrt{5.76+10.24}=\sqrt{16}=4=r$