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Write the equation of a circle whose diameter can be measured by the points (-1,-5) and (5,3)?

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  • Write the equation of a circle whose diameter can be measured by the points (-1,-5) and (5,3)?


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Answer #1 | 17/05 2017 04:27
10
Positive: 57.894736842105 %
Answer #2 | 17/05 2017 03:49
The length of the diameter is the distance between (-1,5) and (5,3), .....diameter = √[(-1-5)²+(5-3)²] = √(36+4) .....diameter = √40 .....diameter = 2√10 radius = diameter/2 = √10 The center of the circle is the midpoint of the diameter: .....center = ((-1+5)/2, (5+3)/2) .....center = (2, 4) The equation of the circle with center (2,4) and radius √10 is (x-2)² + (y-4)² = 10..............ANS
Positive: 52.941176470588 %

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