Question

10. Find the area of the shaded region.

Answer 1

Answer:

$(216-18 \pi) \text{ square units}$

Step-by-step explanation:

First, calculate the area of the rectangle.

Here, length = 18 units and Width = 12 units

The formula for calculating the area of the rectangle is $A=L \times B$

$A=18 \times 12\\=216 \text{ square units.}$

The radius of the semi-circle is 6 units.

The formula for calculating the area of the semi-circle is $A=\dfrac{\pi \times r^2}{2}$.

$A=\dfrac{\pi \times 6^2}{2}\\=\dfrac{36 \pi}{2}\\=18 \pi \text{ square units.}$

The area of the shaded region is equal to the difference of area of the rectangle and area of the semi-circle.

$\text{Required Shaded Area }=(216-18 \pi) \text{ square units}$