Answer:
Area of the sector=[tex]40.69 cm^2[/tex]
Step-by-step explanation:
Area of a sector of a circle= [tex]\frac{\beta }{360} *\pi *r^2[/tex]
As, [tex]\beta =130[/tex]°
Diameter=7.2 cm
Radius= 7.2/2= 3.6 cm
[tex]\pi =\frac{22}{7}=3.14[/tex]
Putting the values in the formula:
Area:
[tex]\frac{130}{360}*3.14*3.6*3.6\\\\=\frac{13}{36}*3.14* 12.96\\\\=\frac{13}{36}* 40.69\\\\=0.36*40.69\\\\=40.69cm^2[/tex]
Area of the sector=[tex]40.69 cm^2[/tex]
