Circle Area and Circumference Problems

This video tutorial covers lesson 17 on the area of a circle. It begins with an introduction and overview, followed by solving problems related to finding the radius of a circle given its circumference. The tutorial also explores methods to determine the area of a rectangle and provides examples of estimating the area of a circle using shaded units. Additionally, it includes a practical problem involving a sprinkler to calculate the area covered. The video concludes with exercises and a summary of the lesson.

What is the main topic of Lesson 17?

• Surface Area of a Sphere

• Perimeter of a Square

• Area of a Circle

• Volume of a Cylinder

If the circumference of a circle is 37.68 inches, what is the radius using pi as 3.14?

• 8 inches

• 6 inches

• 5 inches

• 7 inches

Which method is NOT mentioned for finding the area of a rectangle?

• Counting squares inside the shape

• Measuring diagonals

• Using the formula length times width

• Using the formula base times height

How many square units were counted in one-fourth of the circle?

• 79 square units

• 200 square units

• 100 square units

• 150 square units

What is the estimated area of the entire circle using the counted square units?

• 400 square units

• 200 square units

• 250 square units

• 316 square units

What is the radius of the circle in the sprinkler problem?

• 10 feet

• 12 feet

• 20 feet

• 15 feet

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

• Area = pi * diameter squared

• Area = pi * radius squared

• Area = pi * radius

• Area = pi * diameter

What is the approximate area of the circular region covered by the sprinkler, rounded to the nearest square foot?

• 400 square feet

• 452 square feet

• 500 square feet

• 550 square feet

Which value of pi is used for an exact calculation in the sprinkler problem?

• The symbol π

• 22/7

• 3.1415

• 3.14

What is the circumference of the circle in the sprinkler problem using 22/7 for pi?

• 44 feet

• 50 feet

• 70 feet

• 60 feet