Question

PLEASE HELP ASAP

A circle is centered at the point (-3, 2) and passes through the point (1,5). The radius of the circle is (blank) units. The point (-7 (blank) lies on this circle

Answer 1

5 units

Explanation:

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

Use the distance formula to calculate the radius r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

r =
`√((1+3)^2+(5-2)^2)`

=
`√(4^2+3^2)`

=
`√(16+9)`

=
`√(25)` = 5