What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box.
we know that Area of a circumference=π*r² for diameter=21.2 cm---------> r=10.6 cm A=π*10.6²--------> A=π*112.36 -------> A=352.81 cm²
if 2π radians (full circumference) has an area of -----> 352.81 cm² 3π/5 radians-------------------------------------> X X=[(3π/5)*(352.81)]/2π---------> X=105.84 cm²