Answer is 60 cm^{2 }

Solution ::

Let centre be O {red dot}

radius=OA=8cm=r

length of arc= 15cm=L

Area of sector=\({1\over 2}\times r\times l\)

= \({1\over 2}\times 8\times 15\)

= \(120\over 2\)

=60 cm^{2}.