Answer:
A) Area of sector = 2.5 in².
Step-by-step explanation:
Given : If the area of the circle below is 10 in².
To find : What is the area of the shaded sector .
Solution : We have given that
Area of the circle = 10 in².
Formula of area of circle = [tex]\pi *r^{2}[/tex].
[tex]\pi *r^{2}[/tex] = 10
[tex]r^{2}[/tex] = [tex]\frac{10}{3.14}[/tex]
Area of sector = [tex]\frac{theta}{360}[/tex][tex]\pi *r^{2}[/tex]
Plugging the values
Area of sector = [tex]\frac{90}{360}[/tex]* 10.
Area of sector = 2.5 in².
Therefore, A) Area of sector = 2.5 in².
