Question

The point (-4‚-2) lies on a circle. What is the length of the radius of this circle if the center is located at (-8‚-10)

Answer 1

Answer:

4√5

Step-by-step explanation:

The length of the radius of the circle will be the distance between the two coordinates. Using the formula:

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinates (-4‚-2) and (-8‚-10)

R = √(-8-(-4))²+(-10-(-2))²

R = √(-4)²+(-8)²

R = √16+64

R = √80

R = √16*5

R = 4√5

Hence the  length of the radius of this circle is 4√5