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How do you find the center of the circle given the endpoints of the diameter in coordinate geometry?
First, find the coordinates of the diameter midpoint. For example, the endpoints of a diameter have coordinates of (x1, y1) = (1, 2) and (x2, y2) = (7, 6). By the midpoint formula we have:
(xm, ym) = [(x2 - x1)/2, (y2 - y1)/2] = [(7 - 1)/2, (6 - 2)/2] = (3, 2)
Since (x1, y1) it is the closest point to the origin, the coordinates of the center of the circle are:
(xc, yc) = (xm + x1, ym + y1) = (3 + 1, 2 + 2) = (4, 4).
What else can I help you with?
What is the line passing through the center of a circle with two endpoints on the circle?
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.
What is a line passing the center of a circle with both endpoints on the circle?
It is the diameter of the circle.
What is a segment that contains the center of the circle and has both endpoints on the circle known as?
It is the diameter.
What is a line segment that passes through the center of a circle and whose endpoints are on the circle?
Diameter:)
What is a line segment that passes through the center of the circle and has its endpoints on the circle?
This is called "diameter"
Do all diameters pass through the center of a circle?
Yes. In geometry, a diameter of a Circleis any straight Line_segmentthat passes through the center of the circle and whose endpoints are on the circle.
What is a segment whose endpoints are on a circle?
A chord. a diameter also has endpoints on a circle, the only difference is a diameter goes through the center point and a chord doesnt have to go through the center. a diameter is considered a chord.
What is a segment that passes through the center of a circle and has both endpoints on the circle?
A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.
What is the center of the circle with a diameter whose endpoints are (27) and (-6-1)?
Diameter endpoints: (2, 7) and (-6, -1) Centre of circle will be the midpoint which is: (-2, 3)
What is the line passing through the center of a circle with two endpoints on the circle?
The line passing through the center of a circle with two endpoints on the circle is the circle's diameter.
A line segment that passes through the center of a circle and has endpoints on the circle?
the answer is the diameter
Segment through the center of a circle with endpoints on the circle?
That's a "diameter" of the circle.
What is a line passing the center of a circle with both endpoints on the circle?
It is the diameter of the circle.
What is a segment that contains the center of the circle and has both endpoints on the circle known as?
It is the diameter.
What is a line segment that passes through the center of a circle and whose endpoints are on the circle?
Diameter:)
What is a line segment whose endpoints are on the circle passing through the center point?
Diameter.
What is a line segment that passes through the center of the circle and has its endpoints on the circle?
This is called "diameter"
