SOLUTION: The endpoints of the diameter of a circle are (-3, 2) and (5, -6). Find the center and radius of the circle.
Algebra.Com
Question 542460: The endpoints of the diameter of a circle are (-3, 2) and (5, -6). Find the center and radius of the circle.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The center of the circle will be the midpoint of the line segment representing the diameter
Given the two endpoints (-3,2) and (5,-6) the midpoint has coordinates
x = (-3+5)/2 = 1
y = (2-6)/2 = -2
The radius is the distance between the center and one of the endpoints:
r = sqrt((1 - -3)^2 + (-2 - 2)^2) = sqrt(16 + 16) = sqrt(32) = 4*
RELATED QUESTIONS
the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center (answered by solver91311)
a circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of... (answered by mananth)
The points (2, 5) and (4, –1) are endpoints of the diameter of a circle.
(a) State... (answered by Fombitz)
Find the center of a circle whose diameter has the endpoints (5,7) and (-3,... (answered by Alan3354,macston)
Find the center of a circle whose diameter has the following endpoints.
(-2,7) and (3, (answered by josgarithmetic)
What is the center of the circle that has a diameter whose endpoints are (5, -6) and (-1, (answered by josmiceli)
The endpoints of a diameter of a circle are D(-6,-5) and E(6,15). The coordinates of the... (answered by Alan3354)
Find the center-radius form for the circle having the endpoints (7,2) and (-9,8) of a... (answered by Alan3354)
What is the center of the circle that has a diameter whose endpoints are (2, 7) and (-6,... (answered by josgarithmetic)