Question 355100
The given chord perpendicularly bisects a radius of the circle, so we can form a right triangle where one leg measures 5 cm, the other leg measures {{{r/2}}}, and the hypotenuse measures r.  Then by the Pythagorean Theorem,
{{{r^2 = (r/2)^2 +5^2}}},
{{{r^2 = r^2/4+25}}},
{{{3r^2/4 = 25}}},
{{{r^2 = 100/3}}}.
Now the area of the circle is given by {{{A = pi*r^2}}}.
Substituting {{{r^2 = 100/3}}} into this area formula, we get
{{{A = 100pi/3}}}square centimeters.