Exploring Grade 8 Math Concepts: Unit 8 Lesson 2

The video tutorial covers the topic of side lengths and areas in geometry. It begins with an introduction to the lesson, followed by methods to estimate the area of a square using circles. The tutorial then explores equilateral triangles and their properties, before moving on to calculating areas and side lengths using geometric principles. The session concludes with a summary and introduction to homework, followed by solutions to the homework problems.

What is the radius of the blue circle in the given problem?

• Line segment AB

• Line segment AD

• Line segment BC

• Line segment AC

Why can we conclude that the two circles are the same size?

• They have the same color

• They have the same radius

• They are both inside a square

• They have the same circumference

What was the estimated area of the square using the radius of the circle?

• 28.09 units squared

• 29 units squared

• 27.5 units squared

• 30 units squared

What is the actual side length of the square if the area is 29 units squared?

• 5.3

• 6

• 5.5

• Root 29

How do you calculate the area of a square using its side length?

• Multiply the side length by 4

• Multiply the side length by 2

• Take the square root of the side length

• Square the side length

What is the side length of a square with an area of 18 units squared?

• 4.5

• Root 18

• Root 20

• 5

What is the estimated side length of a square with an area of 45 units squared?

• Between 5 and 6

• Between 6 and 7

• Between 7 and 8

• Between 4 and 5

What is the side length of a square with an area of 73 units squared?

• Root 73

• 8.5

• 9

• Root 72

Which of the following expressions is equivalent to 10 to the negative 6?

• 10^6

• 1/10^6

• 10^-1

• 1/10^-6

What is the side length of a square with an area of 81 square feet?

• 8

• 10

• 7

• 9