We are given the following parameters:
radius (r) = 13
The angle subtended by the shaded part at the center = 151 degrees
pi = 3.14
The area (A) of the shaded part can be found using the formula:
[tex]A\text{ = }\frac{\theta}{360^0}\text{ }\times\text{ }\pi\text{ }\times r^2[/tex]
On substituting the given parameters, we have:
[tex]\begin{gathered} A\text{ = }\frac{151^0}{360^0}\text{ }\times\text{ 3.14 }\times13^2 \\ A\text{ = }\frac{80129.66}{360} \\ A\text{ = 222.582} \\ A\text{ = 222}.6\text{ square unit} \end{gathered}[/tex]
Answer: 222.6 square unit
