Equation of circle: (x-3)^2 +(y-2)^2 = 8
A secant is a line that passes through a point on the circle and the center of the circle. It intersects the circle at two different points.
Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
The point from which the circle is drawn IS the center.
Draw a cord through the circle (a line through the circle, but not too close to where you imagine the center to be). With construction techniques, find the perpendicular at the center point of the cord, and draw the perpendicular. Do the same thing again starting with a different cord, and the two perpendiculars will intersect at the center of the circle.
It is the diameter of the circle.
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The diameter of a circle passes through the center of a circle at its center point
Equation of any circle, with any radius, and its center at any point: [ x - (x-coordinate of the center) ]2 + [ y - (y-coordinate of the center) ]2 = (radius of the circle)2
(x-5)2 + y2 = 17
A secant is a line that passes through a point on the circle and the center of the circle. It intersects the circle at two different points.
The distance through the center of a circle is called the diameter.
Equation of circle: (x-3)^2 +(y+5)^2 = 13
It is the diameter
It is the diameter
The equation of a circle through the center (using "^" for power) is: x^2 + y^2 = r^2 To have the center anywhere else, say, through point (a, b), just replace "x" with "x-a" (in this case: x - 1), and "y" with "y-b" (in this case: y - -1, or y + 1).
Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
The point from which the circle is drawn IS the center.