Question

What is the area of the shaded region

Answer 1

Given:

Given that the radius of the circle is 12 cm.

The length of the rectangle is 11 cm.

The width of the rectangle is 5 cm.

We need to determine the area of the shaded region.

Area of the rectangle:

The area of the rectangle can be determined using the formula,

$A_1=length \times width$

Substituting the values, we have;

$A_1=11\times 5$

$A_1=55 \ cm^2$

Thus, the area of the rectangle is 55 square cm.

Area of the circle:

The area of the circle can be determined using the formula,

$A_2=\pi r^2$

Substituting r = 12, we have;

$A_2= (3.14)(12)^2$

$A_2=452.16 \ cm^2$

Thus, the area of the circle is 452.16 square cm.

Area of the shaded region:

The area of the shaded region can be determined by subtracting the area of the rectangle from the area of the circle.

Thus, we have;

Area = Area of the circle - Area of the rectangle.

Substituting the values, we have;

$Area=452.16-55$

$Area=397.16 \ cm^2$

Thus, the area of the shaded region is 397.16 square cm.