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

Answers

Answer #1 | 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

Answer #1| 17/05 2017 03:4960 %