The area of shaded region is 144.43 square centimeter
Step-by-step explanation:
Let the outer circle be C1 and the inner circle be C2
The area of the shaded region can be calculated by subtracting the area of inner circle from the outer circle
Area of outer Circle:
Given
[tex]r_1 = 9cm[/tex]
Putting the values in the formula for area of circle
[tex]A_1 = \pi (r_1)^2\\=\frac{22}{7} * (9)^2\\=\frac{22}{7} * 81\\=257.5714\ cm^2[/tex]
Area of Inner Circle:
Given
[tex]r_2=6 cm[/tex]
Putting in formula
[tex]A_2 = \frac{22}{7} * (6)^2\\= \frac{22}{7} * 36\\=113.1428cm^2[/tex]
Area of Shaded Region:
[tex]A = A_1 -A_2\\= 257.5714-113.1428\\=144.4286\ cm^2[/tex]
Rounding off to nearest hundredth
[tex]= 144.43\ cm^2[/tex]
Hence,
The area of shaded region is 144.43 square centimeter
Keywords: Area, circle
Learn more about area at:
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