Answer:
Area of the sector[tex]=4.01inch^2[/tex]
Step-by-step explanation:
Area of a circle with the given angle and radius is:
= [tex]\frac{\beta }{360} *\pi *r^2[/tex]
[tex]radius(r)=2 inch\\\\\beta =115[/tex]
Putting the values in the formula:
[tex]=\frac{115}{360} *(3.14) *(2)^2[/tex]
[tex]=\frac{115}{360}* 3.14*4[/tex]
[tex]=\frac{115}{360} *12.56[/tex]
[tex]=\frac{23}{72} *12.56[/tex]
[tex]=0.319*12.56\\\\=4.01inch^2[/tex]
The area of the sector[tex]=4.01inch^2[/tex]
