Find the area of the rectangle and the area of the circle:
Formula for the area of a rectangle:
A = l x w [A = area l = length w = width]
You know:
l = 10cm
w = 3 cm Substitute/plug this into the equation
A = l x w
A = 10 x 3
A = 30cm²
Formula for the area of a circle:
A = πr² [A = area r = radius]
You know:
r = 12 cm Substitute/plug this into the equation
A = πr²
A = π(12)²
A = 144π
A = 452.39 cm²
To find the area of the shaded region, subtract the area of the circle (shaded region) by the area of the rectangle (unshaded region)
452.39cm² - 30cm² = 422.39cm²
Answer:
Area of the shaded region= [tex]422.16\,cm^2[/tex]
Step-by-step explanation:
Area of the shaded region is :
Area of the circle - Area of the rectangle inside it
Area of the rectangle= [tex]Length\times Width[/tex]
[tex]Length=10\,cm\\Width=3\,cm[/tex]
Area is:
[tex]10\times 3\\\\=30\,cm^2[/tex]
Area of the circle= [tex]\pi \times r^2[/tex]
[tex]r=12\,cm[/tex]
As ,
[tex]\pi =\dfrac{22}{7} =3.14[/tex]
Area of the Circle = [tex]3.14\times(12\times 12)[/tex]
[tex]=3.14\times 144\\\\=452.16\,cm^2[/tex]
Area of the shaded region is:
[tex]=452.16-30\\\\=422.16\,cm^2[/tex]
