# Find the area of the shaded region in terms of pi.

• MHB
• Etrujillo
In summary, the shaded region refers to the colored or marked part of a shape or figure. Its area can be calculated by using the formula for the entire shape and subtracting any non-shaded regions. This area is often expressed in terms of pi for shapes with curved edges. Even for irregular shapes, the area can still be calculated by dividing it into smaller, regular shapes. The exact area in terms of pi may or may not be possible to find, depending on the given information and complexity of the shape.
Etrujillo
So far i have.

12) area of full circle is πr²
area of sector is (120/360)(πr²) or 12π

13) same
area is (270/360)(πr²)

Am i correct?

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#12 is correct ... finish #13

Im assuming 12m is the radius so \frac{270}{360}pi×12squared=108 pi
Am i correct?

$$\displaystyle A=\frac{1}{2}r^2\theta=\frac{1}{2}(12\text{ m})^2\frac{3\pi}{2}=108\pi\text{ m}^2\quad\checkmark$$

## 1. What does "shaded region" refer to in this context?

The shaded region refers to the part of the shape or figure that is colored or marked in a different shade, usually to distinguish it from the rest of the shape.

## 2. How is the area of the shaded region calculated?

The area of the shaded region can be calculated using the formula for the area of the entire shape or figure, and then subtracting the area of any non-shaded regions within the shape.

## 3. Why is the area of the shaded region expressed in terms of pi?

If the shaded region is part of a circle or a shape with curved edges, the area is usually expressed in terms of pi as it involves calculating the area of a curved surface. Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter and is approximately equal to 3.14.

## 4. Can the area of the shaded region be calculated if the shape is irregular?

Yes, the area of the shaded region can still be calculated for an irregular shape. This can be done by dividing the shape into smaller, regular shapes (such as triangles or rectangles), finding the area of each of these shapes, and then adding them together to get the total area of the shaded region.

## 5. Is it possible to find the exact area of the shaded region in terms of pi?

It depends on the given information and the complexity of the shape. In some cases, it may be possible to find the exact area in terms of pi, while in others, it may only be possible to find an approximate value. Generally, the more information given about the shape, the more accurate the calculation can be.

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