Question

The ends of a diameter of a circle have the coordinates (4,3) and (-4,-3). AB is another diameter where A has the coordinates (5/root2,-5/root2). Find the coordinates of B and the radius of the circle

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

Length of the diameter = √((-3-3)^2 + (-4-4)^2)

= √25 = 5.

So the radius of the circle = 1/2 * 5 = 2.5.

The centre of the circle = (4-4)/2, (3-3)/2 = (0,0).

So the coordinates of B will be a rotation of 180 degrees of point A around the origin and will be (-5/root2, 5/root2).