Answer:
The area of shaded region is 123.66 [tex]in^2[/tex].
Step-by-step explanation:
Given:
Below is the figure shown in which a circle with radius 9 inches is placed in a rectangle with length is 21 inches and we need to find the area of shaded region or leftover region.
Now we will first find the area of circle whose radius r = 9 inches.
Hence, Area of circle = [tex]\pi r^2= 3.14\times 9 \times9= 254.34\ in^2[/tex]
Now we will find Area of rectangle whose length is 21 inches and width will be equal to diameter of the circle.
diameter of circle = 2 [tex]\times[/tex] radius = [tex]2\times 9= 18 \ in[/tex]
hence width of rectangle = diameter of circle = 18 in.
Area of rectangle = length [tex]\times[/tex] width =[tex]21 \times 18 =378 \ in^2[/tex]
Area of Shaded region = Area of rectangle - Area of circle = [tex]378 \ in^2 - 254.34\ in^2 = 123.66 \ in^2[/tex]
