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What is the area of the shaded region

What is the area of the shaded region-example-1
User Ghempton
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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 * width

Substituting the values, we have;


A_1=11* 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.

User Eric Sabine
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