Exploring Area of Composite Figures

In this video tutorial, the teacher explains how to find the area of a shaded region formed by a square inside a circle. The lesson begins with a description of the problem, followed by calculations of the circle's and square's areas. The teacher demonstrates how to subtract the square's area from the circle's to find the shaded region. The video concludes with practice problems and a reminder to ask questions if needed.

What geometric shapes are involved in finding the shaded area?

• Rectangle and circle

• Triangle and square

• Square and circle

• Circle and triangle

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the formula to calculate the area of a circle?

• pi * radius

• radius^2 / pi

• 2 * pi * radius

• pi * radius^2

Tags

CCSS.7.G.B.4

If the radius of the circle is 6 meters, what is the area of the circle?

• 113.04 meters squared

• 12 pi meters squared

• 36 pi meters squared

• 72 meters squared

Tags

CCSS.7.G.B.4

How do you calculate the area of a square?

• 2 * (Length + Width)

• Side * Side

• Side + Side

• Base * Height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What is the area of a square with a side length of 8.5 meters?

• 17 meters squared

• 72.25 meters squared

• 42.5 meters squared

• 34 meters squared

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How do you find the area of the shaded region?

• Add the areas of the circle and square

• Multiply the areas of the circle and square

• Subtract the area of the square from the circle

• Divide the area of the circle by the square

Tags

CCSS.3.MD.C.7D

What is the area of the shaded region if the circle's area is 113.04 m^2 and the square's area is 72.25 m^2?

• 140.79 meters squared

• 185.29 meters squared

• 40.79 meters squared

• 85.79 meters squared

What is the next step after watching the video tutorial?

• Attempting the check problem

• Discussing with friends

• Watching another video

• Taking a break

Tags

CCSS.3.MD.D.8

Why is it important to review the video material?

• To memorize the formulas

• To prepare for other subjects

• To clarify any confusion

• To pass the time

Tags

CCSS.RI.7.3

CCSS.RI.7.5

CCSS.RI.8.3

CCSS.RI.8.5

CCSS.RI.9-10.5

What should you do if you have questions about the video?

• Guess the answers

• Skip the video

• Ask the teacher

• Ignore them