Lesson: Circumference of a Circle and Its Application

In this lesson, we will learn how to identify the circumference of a circle using the 2πr formula to find the circumference of circular shapes in real life.

Video

14:38

Sample Question Videos

  • 02:25
  • 01:59
  • 02:26

Worksheet: 25 Questions • 3 Videos

Q1:

A cylinder-shaped jar of jam has a circular base of radius 7. Use 2 2 7 as an approximation of πœ‹ to calculate the perimeter of the base.

Q2:

Given that the diameter of a flower is 10 centimeters, use a calculator to determine the circumference of the flower, taking 2 2 7 for πœ‹ .

Q3:

Find the circumference of a circular pizza with a diameter of 33 inches. Round to the nearest tenth

Q4:

There are two circular paths to walk on a local hiking trail. Given that one path has a diameter of 168 yards, and the other path has a radius of 50 yards, find, to the nearest tenth, how much farther a person can walk on the longer path.

Q5:

The Noah family has a circular swimming pool with a radius of 25 feet. They built a 6-foot-wide deck around the entire pool. What is the circumference of the deck, rounded to the nearest tenth?

Q6:

What distance does a 14 cm diameter wheel cover after 90 turns? Use 2 2 7 to approximate πœ‹ .

Q7:

Each wheel on Sophia’s car has a diameter of 18 inches. Which expression could be used to find the circumference of the wheel?

Q8:

The tire on Liam’s bike has a radius of 30 inches. Which of the following equations gives the circumference of the tire in inches?

Q9:

Mr. Michael is putting up a fence around his circular backyard of diameter 8 feet. Determine, to the nearest tenth, how long the fence should be.

Q10:

A factory is producing plates with a diameter of 10 inches. They plan on putting a silver edge on each plate. Determine, to the nearest tenth, how much silver edging is needed for each plate by finding the circumference of each plate.

Q11:

Mr William has a circular garden with a diameter of 107 feet surrounded by fencing. Using the same length of fencing, he is going to create a square garden. What is the maximum side length of the square? Round the result to one decimal place.

Q12:

A circular road has a diameter of 3 5 miles. Determine, to the nearest tenth, the distance a car will cover if it goes around the road once.

Q13:

A dime has a radius of 8 1 2 millimeters. Find the circumference of a dime to the nearest tenth.

Q14:

Jacob is walking on a circular path whose diameter is 4 miles. If Jacob walks about 3 miles an hour, find how many hours it will take him to complete the path, rounded to the nearest hour.

Q15:

A piece of wire is bent to form the shape shown in the figure. Using 3.14 in place of πœ‹ , how long is the wire?

Q16:

A row of lamps is placed along the outer edge of a circular chandelier of radius 3 1 8 feet. Determine the length of the row of lamps to the nearest tenth.

Q17:

A wire fence surrounds a circular garden. If the area of the garden is 154 and the fence cost 19 pounds per meter, how much is the fence? (Use 2 2 7 to approximate πœ‹ .)

Q18:

Find the circumference of a circular pizza with a diameter of 12 inches. Round to the nearest tenth

Q19:

A cylinder-shaped jar of jam has a circular base of radius 14. Use 2 2 7 as an approximation of πœ‹ to calculate the perimeter of the base.

Q20:

Mr William has a circular garden with a diameter of 113.5 feet surrounded by fencing. Using the same length of fencing, he is going to create a square garden. What is the maximum side length of the square? Round the result to one decimal place.

Q21:

What distance does a 40 cm diameter wheel cover after 100 turns? Use 3.14 to approximate πœ‹ .

Q22:

A factory is producing plates with a diameter of 12 inches. They plan on putting a silver edge on each plate. Determine, to the nearest tenth, how much silver edging is needed for each plate by finding the circumference of each plate.

Q23:

The Ethan family has a circular swimming pool with a radius of 25 feet. They built a 5-foot-wide deck around the entire pool. What is the circumference of the deck, rounded to the nearest tenth?

Q24:

There are two circular paths to walk on a local hiking trail. Given that one path has a diameter of 348 yards, and the other path has a radius of 96 yards, find, to the nearest tenth, how much farther a person can walk on the longer path.

Q25:

A circular road has a diameter of 3 4 miles. Determine, to the nearest tenth, the distance a car will cover if it goes around the road once.

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