From the picture provided in this question, we can draw a straight line horizontally and the diagram would be divided into two different shapes, which are,
An isosceles trapezoid and
A quarter circle
The dimensions and area would now be;
The area of the quarter circle also would now be;
The areaof the entire shape therefore is the addition of the area of the trapezoid and that of the quarter circle.
Area = 13 cm + 12.56 cm
Area = 25.56 square centimeters