Question

In circle O shown below, the endpoints of the

diameter are (-2, 4) and (3, 1). What is the
length of the radius to the nearest tenth?

Answer 1

2.9 units

Explanation:

Length of the radius = ½ of the distance between the two endpoints

Distance between (-2, 4) and (3, 1) using the formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`(-2, 4) = (x_1, y_1)`

`(3, 1) = (x_2, y_2)`

`d = √((3 - (-2))^2 + (1 - 4)^2)`

`d = √((5)^2 + (-3)^2)`

`d = √(25 + 9) = √(34)`

`d = 5.8`

Length of radius = ½ of 5.8 = 2.9 units.