SOLUTION: The points (2, 5) and (4, –1) are endpoints of the diameter of a circle.
(a) State the center of the circle.
(b) Find the length of the radius of the circle. (Note that thi
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Question 364439: The points (2, 5) and (4, –1) are endpoints of the diameter of a circle.
(a) State the center of the circle.
(b) Find the length of the radius of the circle. (Note that this is a distance.) Show work.
(c) State the equation of the circle (in standard form). Note that you know the center and the radius from the previous parts.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a)Use the midpoint formula,
.
.
.
b) Use the distance formula,
.
.
.
c) Use the equation of a circle centered at (h,k) with radius R.
Expand the x and y terms to get to standard form.
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