Question

I need help getting how do i do this??

Answer 1

radius = 5 units

Explanation:

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

Calculate r using the distance formula

r =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 7)

r =
`√((4-1)^2+(7-3)^2)`

=
`√(3^2+4^2)`

=
`√(9+16)`

=
`√(25)`

= 5

Answer 2

5 units

Explanation:

By distance formula:

`r = \sqrt{(4 - 1) ^(2) + {(7 - 3)}^(2) } \\ \\ r = \sqrt{ {3}^(2) + {4}^(2) } \\ \\ r = √(9 + 16) \\ \\ r = √(25) \\ \\ r = 5`