The endpoints of the diameter of a circle are A(-1,1) and B(0.5,-3). calculate the radius of the circle.

You should have a method of finding the midpoint of a line segment if you know the endpoints, that becomes your centre.

The use the "distance between two points" to find the length of the line between the above centre and one of the other two points.

i do not get the answer

midpoint = ( -1 + 0.5 , 1 - 3) = ( -.25 , -1)

distance to other point (-1,1)
= √( .75^2 + (-2)^2)
= √4.562
= 2.136

you could also have taken the length of the diameter and then divided by 2
diam = √(1.5^2 + (-4)^2) = √18.25 = 4.272

and 1/2 of 4.272 = 2.136

To calculate the radius of the circle, we need to find the distance between the two given endpoints of the diameter (A and B). The distance formula can be used to find the distance between two points in a coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the distance between points A and B using the distance formula:

x1 = -1
y1 = 1
x2 = 0.5
y2 = -3

d = √((0.5 - (-1))^2 + (-3 - 1)^2)
= √((0.5 + 1)^2 + (-4)^2)
= √(1.5^2 + 16)
= √(2.25 + 16)
= √18.25
≈ 4.27

Therefore, the radius of the circle is approximately 4.27 units.