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In a circle, the midpoint of a chord is the point on the chord that is __ from both endpoints of the chord.
A chord is a line segment with its endpoints on a circle. If the radius of the circle is $r$, the longest chord is the , which is equal to $2r$.
In a circle with radius $r$, if the angle subtended by a chord at the center is $180$ degrees, then the chord is the .
The length of a chord can be determined using the formula $l = 2r \sin(\frac{\theta}{2})$, where $\theta$ is the angle in radians subtended at the center by the chord. If $\theta$ is $90$ degrees, the chord length is $r\sqrt{2}$.
For a chord of length $10$ cm in a circle with radius $6$ cm, to find the perpendicular distance from the center to the chord, use $d = \sqrt{r^2 - (\frac{l}{2})^2}$. The perpendicular distance is cm.
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