Final answer:
The radius of the circle is sqrt(41)/2.
Step-by-step explanation:
To find the radius of a circle with a given diameter, we need to calculate the distance between the two endpoints of the diameter. In this case, the endpoints are (-5,-2) and (0,2).
Using the distance formula, we can find the distance between these two points:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values, we get:
Distance = sqrt((0 - (-5))^2 + (2 - (-2))^2) = sqrt(5^2 + 4^2) = sqrt(25 + 16) = sqrt(41)
Since the radius of a circle is half the diameter, the radius of this circle is sqrt(41)/2.
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