In the figure above, the letters \(L, M,\) and \(N\) denote the areas of the semicircular regions whose diameters are

[VJesus12]

In the figure above, the letters \(L, M,\) and \(N\) denote the areas of the semicircular regions whose diameters are the sides of the triangle, as shown. What is the value of \(\dfrac{L + M}{N}?\)

A. \(\dfrac12\)

B. \(\dfrac{\sqrt2}2\)

C. \(1\)

D. \(\dfrac{\pi}{2\sqrt2}\)

E. \(2\sqrt2\)

Answer: C

Source: Princeton Review