MathDB

Let

s

be any arc of the unit circle lying entirely in the first quadrant. Let

A

be the area of the region lying below

s

and above the

x

-axis and let

B

be the area of the region lying to the right of the

y

-axis and to the left of

s

. Prove that

A+B

depends only on the arc length, and not on the position, of

s

Problem Statement