Question

A circle is centered at the point (-3, 2) and passes through the point (1, 5) what is the radius of the circle

Answer 1

5 units

Explanation:

Center of the circle = (-3, 2)

Point on the circle = (1, 5)

Radius of the circle will be equal to the distance between the points (-3, 2) & (1, 5)

`\therefore \: radius \: of \: the \: circle \\ = \sqrt{ {( - 3 - 1)}^(2) + {(2 - 5)}^(2) } \\ = \sqrt{ {( - 4)}^(2) + {( - 3)}^(2) } \\ = √(16 + 9) \\ = √(25) \\ \therefore \: radius \: of \: the \: circle = 5 \: units`