Question

Given that the center of a circle is (-4,4) and another point on the circle is (-10,-4), what is the radius of the circle?

A) 6
B) 7
C) 8
D) 10

Answer 1

The radius of the circle is 10 units.

Step-by-step explanation:

To find the radius of the circle, you can use the distance formula between two points. The distance between the center of the circle (-4, 4) and another point on the circle (-10, -4) is:

sqrt((-10 - (-4))^2 + (-4 - 4)^2)

= sqrt((-6)^2 + (-8)^2)

= sqrt(36 + 64)

= sqrt(100) = 10

Therefore, the radius of the circle is 10 units.