Respuesta :

The value of the radius is √2 units

How to determine the radius?

To do this, we start by calculating the distance between the opposite vertices of the square.

The opposite vertices are:

(1, 2) and (-1, 4)

The distance between these vertices is

d = √(x2 - x1)² + (y2 - y1)²

So, we have:

d = √(1 + 1)² + (2 - 4)²

Evaluate

d = √8

Evaluate the exponent

d = 2√2

Divide this distance by 2 to determine the radius

Radius = 2√2/2

Evaluate

Radius = √2

Hence, the value of the radius is √2 units

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