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

Respuesta :

Answer:

5 units

Step-by-step 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 = [tex]\sqrt{(1+3)^2+(5-2)^2}[/tex]

  = [tex]\sqrt{4^2+3^2}[/tex]

  = [tex]\sqrt{16+9}[/tex]

  = [tex]\sqrt{25}[/tex] = 5