Section G.4 – Practice Problems

Round your answers to two decimal places unless otherwise noted. Use the π button on the calculator for all calculations.

1. Find the diameter of the circle shown below.

2. Find the radius of the circle shown below.

3. Find the circumference and area of the circle shown below. Round your answers to the nearest hundredth.

4. Find the circumference and area of the circle pictured below. Round your answers to the nearest hundredth.

5. Find the area of the circle shown below. Write your answer in exact form and in approximate form, rounded to the nearest tenth.

6. Find the circumference and area of the circle shown below. Write your answers in exact form and in approximate form, rounded to the nearest tenth.

7. The earth has a diameter of 7926.41 miles. What is the circumference of the earth?

8. A Ferris wheel has a radius of 65 feet. What is the circumference of the circle?  (This would be the distance traveled by a passenger in one full rotation of the Ferris wheel.)

9. The diameter of your bicycle wheel is 25 in. How far will you move in one turn of your wheel?

10. An asteroid hit the earth and created a huge round crater. Scientists measured the distance around the crater as 78.5 mi. What is the diameter of the crater?

11. A dog is tied to a wooden stake in a yard. His leash is 3 m long, and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around in?

12. A storm is expected to hit 7 mi in every direction from a small town. What is the area that the storm will affect?

13. Alice has two flying disks. One is 12 cm in diameter and the other is 24 cm in diameter. What is the difference in square centimeters between the areas of the two flying disks?

14. A semi-circle shaped rug has a diameter of 2 ft. What is the area of the rug?

15. The spray from a spinning lawn sprinkler covers an area of 625π square feet. What is the radius of the circle covered by the lawn sprinkler?