Answer:
see attached for diagram
a) √13
b) √29
c) 4
Step-by-step explanation:
Equation of the circle:
⇒ center = (-1, 3)
⇒ radius = √16 = 4
Distance between 2 points formula:
a) let (-1, 3) =
let (2, 1) =
b) let (-1, 3) =
let (4, 1) =
c) let (-1, 3) =
let (3, 3) =
The general formula for the distance between two points is
Anyway, if A and B have the same x or y coordinates, this formula can be simplified. For example, in this case the two points have the same x coordinate of -8, so the following part of the formula simplifies:
So, we're left with
but the square root of a square is the absolute value of the object being squared:
which is this case means
which is the correct length of the side.