Question 965765
The area of a circle is,
{{{A=pi*r^2=100pi}}}
The entire circle's angular measure is 360.
Set up a ratio to get the area of the sector.
{{{(100pi)/360=A/140}}}
{{{A=100pi*(140/360)}}}
{{{A=100pi*(7/18)}}}
{{{A=(350pi)/9}}}
Multiply that out to get your answer.