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In the circle below, AB is a diameter. Points C and D lie on the circle, with C and D on the same side. Compare:
Quantity A: The length of AB
Quantity B: The arithmetic mean of the lengths of AC and AD
Since AB is a diameter, any chord of the circle has length at most equal to the diameter.
Both AC and AD are chords of the circle (from B to points on the circle), so $AC \leq AB$ and $AD \leq AB$.
Their average: $\dfrac{AC + AD}{2} \leq AB$.
Equality holds only if both C and D coincide with A, which is not possible since C and D are distinct points on the circle different from A.
Therefore $\dfrac{AC + AD}{2} < AB$, and Quantity A is greater.
The outermost layer of the uterus is known as the:
The uterine wall has three layers: perimetrium (outer serous layer), myometrium (middle smooth muscle), and endometrium (inner mucosal layer).
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