Understanding Shaded Regions in Polygons

This video tutorial explains how to find the shaded region of a polygon by calculating the areas of squares and circles. It covers three scenarios: cutting a circle from a square, cutting a square from a circle, and cutting a circle from another circle. The tutorial provides step-by-step instructions on calculating areas and subtracting them to find the remaining shaded regions.

What is the primary focus of the video tutorial?

• Learning about different types of polygons

• Understanding the volume of 3D shapes

• Calculating the shaded region of polygons

• Finding the perimeter of polygons

How do you calculate the area of a square?

• Base times height

• Side times height

• Length times width

• Pi times radius squared

What is the formula for the area of a circle?

• Length times width

• Base times height

• Pi times radius squared

• Side times height

If a square has a side length of 16 mm, what is its area?

• 32 mm squared

• 256 mm squared

• 128 mm squared

• 64 mm squared

What is the radius of the circle used in the first example?

• 10 mm

• 8 mm

• 12 mm

• 6 mm

In the second example, what shape is cut from the circular paper?

• Pentagon

• Triangle

• Rectangle

• Square

What is the area of the square cut from the circular paper in the second example?

• 341.91 cm squared

• 452.16 cm squared

• 144 cm squared

• 111.25 cm squared

In the third example, what is the radius of the smaller circle?

• 8 m

• 2 m

• 6 m

• 4 m

What is the area of the larger circle in the third example?

• 113.04 M squared

• 12.56 M squared

• 36 M squared

• 72 M squared

What is the remaining area after cutting the smaller circle from the larger circle in the third example?

• 12.48 M squared

• 102.48 M squared

• 10.48 M squared

• 100.48 M squared