Question

Question 51 ptsThe point (-4,-2) lies on a circle. What is the length of the radius of this circle if thecenter is located at (-8, -10)?O 4√5O 2√54080PreviousNext ▸

Answer 1

Given,

The coordinates of the point on the circle is (-4, -2).

The coordinates of the center of the circle is (-8, -10).

Reuired

The length of the center of the circle.

By using the distance formula, the radius of the circle can be calculated.

The distance formula is,

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

Substituting the value of the coordinates of the points,

$\begin{gathered} Distance=\sqrt{(-10-(-2))^2+(-8-(-4))^2} \\ =\sqrt{(-10+2)^2+(-8+4)^2} \\ =\sqrt{(-8)^2+(-4)^2} \\ =\sqrt{64+16} \\ =\sqrt{80} \\ =\sqrt{4\times4\times5} \\ =4\sqrt[]{5} \end{gathered}$

Hence,