Say we have a circle of unit radius centered on the origin, and another point on the x-axis d units away, were we to draw a line at angle θ relative to the x axis, cutting across the circle at either 2, 1 or 0 points, the length of the chord made(or not made) is(adsbygoogle = window.adsbygoogle || []).push({});

[itex] L(\theta) = 2r\sqrt{1-\frac{d^2\sin^2(\theta)}{r^2}} [/itex]

My calculus isn't up to par to figure out how to then determine the area of the circle using that equation...I would have thought maybe using the area of sector .5r^2dθ with r = L(θ) but I keep getting the wrong answers, is it not possible to integrate over theta here and get the area of the circle? Is the above function incorrect?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Help with Reimann(?) Integral

**Physics Forums | Science Articles, Homework Help, Discussion**