Note: You can either solve the two problems by hand or using Excel VBA

$1-$ The location $\stackrel{}{x}$ of the centroid of an arc of a circle is given by:

$\stackrel{}{x}=\frac{rsin}{}$

Determine the angle $$ for which $\stackrel{}{x}=\frac{3r}{4}.$

First, derive the equation that must be solved and then determine the root using

the following methods:

$($a$)$ Use the bisection method. Start with $a=0\mathrm{.}5$ and $b=1\mathrm{.}5,$ and carry

out the first four iterations.