if the diameter of a circle has endpoints A (7,2) and B (-1,8), where is the center?
Mathematics · High School · Wed Jan 13 2021
Answered on
Given the endpoints:
A ( 7, 2 )
B ( -1, 8)
x1 = 7
x2 = -1
y1= 2
y2 = 8
Determine the center of the circle.
The center of the circle can be found by using the midpoint formula:
M = (x1 + x2)/2 , (y1 + y2)/2
Solution:
Substitute the given values of x1, x2, y1, and y2 to the given formula for the midpoint.
M = (x1 + x2)/2 , (y1 + y2)/2
M = (7 - 1)/2, ( 2 + 8 )/2
M = 6/2, 10/2
M= 3, 5
Final answer:
The center of the circle is located at ( 3, 5 )