If A (1,-2) and B (5,-6) are the ends of the diameter of circle, then the radius and centre point of the circle
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Step-by-step explanation:
Let O(x,y) be the centre of a circle where A (1,-2) and B (5,-6) are the ends of the diameter of the circle.
Then,
Using mid-point formula
(x,y) = {(1+5)/2 , (-2-6)/2}
or, (x,y) = { 6/2, -8/2}
or, (x,y) = {3, -4)
Equating on both sides
x= 3
and, y= -4
Now,
Radius of circle = √(1-3)²+(-2+4)²
= √(-2)²+(2)²
= √(4+4)
= √8
= 2√2 units
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Answer:
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