A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below. Evaluate the student’s answer.

Answer:Option D. The student did not use the correct formula to calculate the area of the segmentStep-by-step explanation:step 1Find the area of the isosceles triangleApplying the law of sines[tex]A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}[/tex]step 2Find the area of the sectorThe area of the sector is 1/6 of the area of the circleso[tex]A=\pi r^{2}/6[/tex]substitute the value[tex]A=(3.14)(12)^{2}/6=75.36\ ft^{2}[/tex]step 3Find the area of the segmentThe area of the segment is equal to the area of sector minus the area of triangle[tex]A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}[/tex]thereforeThe student did not use the correct formula to calculate the area of the segment