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
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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).