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Can a circle with the diameter of 15 have a same chord of 4 inches?
I'm not sure what you mean by "same chord", but a circle of diameter can have a chord of 30, or anything less. (a chord is a segment joining two points on the circle)
A line segment that extends from one edge of the circle to the other edge of the circle is called?
It is a chord and the diameter of a circle is its largest chord.
Can a chord be in the middle of a circle?
Not sure what you mean by "in the middle of a circle". A chord must have each of its ends on the circumference of the circle. If a chord is such that is passes through the centre point of the circle, it is (the longest chord possible and is) called a diameter. Or to put it another way, a diameter of a circle is a chord which passes through the centre point of the circle.
What is the harpsie chord?
If you mean harpsichord, it's a musical instrument similar to a piano.
In mathematics term what does chord mean?
a straight line joining the ends of an arc
