Question

The end points of a diameter of circle are (2, 4) and (−3, −1). The length of its radius is ______.

Options

• `(5sqrt2)/2` units

• `5sqrt2` units

• `3sqrt2` units

• `+- (5sqrt2)/2` units

Answer 1

The end points of a diameter of circle are (2, 4) and (−3, −1). The length of its radius is `\bbunderline((5sqrt2)/2  "units")`.

The formula for the distance between two points (x₁, y₁) and (x₂, y₂) is:

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`

`d= sqrt((-3-2)^2 + (-1-4)^2)`

`= sqrt((-5)^2+(-5)^2)`

`= sqrt (25+25)`

`= sqrt50`

`= 5sqrt2`

Radius = `("Diameter")/2`

`(5sqrt2)/2`