Circle Geometry and Circumference Problems

The video tutorial covers the concept of circumference, explaining the formulas used to calculate it, including the significance of pi. It provides example problems and guided practice to help students understand how to apply these formulas in different scenarios, such as calculating the circumference of a circle given the radius or diameter.

What is the relationship between the diameter and the radius of a circle?

• The diameter is three times the radius.

• The diameter is twice the radius.

• The diameter is half the radius.

• The diameter is equal to the radius.

What is the approximate value of pi?

• 4.13

• 1.62

• 2.71

• 3.14

Which formula can be used to calculate the circumference of a circle if the diameter is known?

• C = πD

• C = πR²

• C = 2πR

• C = 2D

If a circle has a radius of 14 feet, what is the circumference using 22/7 for pi?

• 44 feet

• 88 feet

• 66 feet

• 28 feet

In the example of the model boat, what is the radius of the pond if the circumference is 628 feet?

• 50 feet

• 200 feet

• 100 feet

• 150 feet

How long will it take for a boat traveling at 5 feet per second to cross a radius of 100 feet?

• 25 seconds

• 20 seconds

• 15 seconds

• 10 seconds

What formula should be used to find the circumference if the diameter is given?

• C = D/π

• C = πD

• C = 2πR

• C = πR²

If a circle's diameter is 9 inches, what is its circumference using π = 3.14?

• 18 inches

• 28.26 inches

• 27 inches

• 31.42 inches

Carlos needs a rope to span the diameter of a pool with a circumference of 66 feet. How much rope does he need if he requires 4 extra feet?

• 21 feet

• 25 feet

• 29 feet

• 33 feet

If the circumference of a circle is given as π yards, what is the diameter?

• 0.5 yards

• π yards

• 2 yards

• 1 yard