You have asked your landscaper to create a garden area in an oddly-shaped corner of your backyard. Regarding the fencing on the two sides of the corner as being radii, the corner's central angle is two-thirds of the circle. You'd like the landscaper to install a particular type of edging of which you have 14 2/3 feet, as the arc of circle whose center is pole where fences meet. To the nearest hundredths, what will be area of your new garden?