Find the center and radius of the circle that has(-2,5)and(-4,9)as endpoints of the diameter.
Mathematics · College · Tue Nov 03 2020
Answered on
We have,
(-2,5)and(-4,9)
x1 = -2 , y1 = 5
x2 = -4 , y2 = 9
So, Mid point = (x1+x2)/2 , (y1+y2)/2
= (-2-4)/2 , (5 + 9)/2
= -6/2 , 14/2
= -3 , 7
Radius of circle, r² = (x - h)² + (y - k)²
Where h and k are mid points, h = -3 and k = 7
We can take either of points (-2,5) or (-4,9) to find the Radius.
r² = (-2-3)² + (5-7)²
r² = (-5)² + (-2)²
r² = 25 + 4
r = √29
r = 5.38
Hence, Radius of circle is 5.38