Question

What is the radius of the circle with Center: (8, 2), Point on Circle: (14,-1)? 2 decimal places

Answer 1

r ≈ 6.71

Explanation:

The distance from the centre of the circle to a point on it is the radius.

Calculate the radius r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (8, 2) and (x₂, y₂ ) = (14, - 1)

r =
`√((14-8)^2+(-1-2)^2)`

=
`√(6^2+(-3)^2)`

=
`√(36+9)`

=
`√(45)` ≈ 6.71 ( to 2 dec. places )