Hello!
First, let's calculate the area of the whole circle, using the formula:
![\begin{gathered} A_(\circ)=\pi\cdot r^2 \\ A_(\circ)=3.14\cdot2^2 \\ A_{\operatorname{\circ}}=3.14*4 \\ A_{\operatorname{\circ}}=12.56 \end{gathered}]()
Now, remember: the central angle is 15º, and we calculated considering 360º (whole circle). So, let's divide it, look:
In 360º, there are 24 sectors with 15º each. So, let's divide the obtained area by 24 to obtain the area of one sector:
