(Solved): Can anyone solve this whole problem? Using R studio. 3. A chord of a circle is a straight line segm ...

3. A chord of a circle is a straight line segment whose endpoints both lie on the circle. Conduct a simulation study on the distribution of the length of a random chord on unit circle. (a) "random endpoints" method: Choose two random points on the circumference of the unit circle and draw the chord joining them. (In fact, you may fix one endpoint and assume the other uniformly distributed on the circle). Write a function with input $n$ and output the lengths of $n$ random chords. (b) "random midpoint" method: Choose a random point (uniformly distributed) within the circle and construct a chord with the chosen point as its midpoint. Write a function with input $n$ and output the lengths of $n$ random chords.