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Worksheet: Finding the Circumference of a Circle to Solve Word Problems

Q1:

Determine the perimeter of the figure, using 3.14 to approximate .

Q2:

Use to approximate and calculate the circumference of the circle.

Q3:

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

  • A
  • B
  • C
  • D
  • E

Q4:

Given that the diameter of a flower is 14 centimeters, use a calculator to determine the circumference of the flower, taking for .

  • A11 cm
  • B22 cm
  • C44 cm
  • D132 cm
  • E88 cm

Q5:

Given that the diameter of a flower is 11 centimeters, use a calculator to determine the circumference of the flower, taking for .

  • A cm
  • B cm
  • C cm
  • D cm
  • E cm

Q6:

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

Q7:

The tire on Robert’s bike has a radius of 18 inches. Which of the following equations gives the circumference of the tire in inches?

  • A
  • B
  • C
  • D
  • E

Q8:

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

Q9:

A cylinder-shaped jar of jam has a circular base of radius 10. Use 3.14 as an approximation of to calculate the perimeter of the base.

Q10:

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

Q11:

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.

Q12:

Mr Justin 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.

Q13:

Mr Bradley has a circular garden with a diameter of 67.9 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.

Q14:

There are two circular paths to walk on a local hiking trail. Given that one path has a diameter of 140 yards, and the other path has a radius of 66 yards, find, to the nearest tenth, how much farther a person can walk on the longer path.

Q15:

At the park, Claire has a choice between two circular paths. One has a diameter of 142 yards and the other has a radius of 62 yards. How much longer is a circuit around the longer path than one around the shorter? Round your answer to the nearest tenth.

Q16:

The Gerald family has a circular swimming pool with a radius of 11 feet. They built a 5-foot-wide deck around the entire pool. What is the circumference of the deck, rounded to the nearest tenth?

Q17:

Shirley bought 20 identical candles. She wants to glue one piece of ribbon around each candle. If the candle’s diameter is 3 inches, which of the following is an estimation of how many inches of ribbon she should buy?

  • A203 in
  • B30 in
  • C190 in
  • D60 in
  • E178 in

Q18:

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

Q19:

What distance does a 14 cm wheel cover after 90 turns? Use to approximate .

Q20:

What distance does a 25 cm wheel cover after 90 turns? Use 3.14 to approximate .

Q21:

Using to approximate , determine the number of turns that a wheel of diameter 28 cm makes in rolling a distance of 1 056 cm.

Q22:

Using 3.14 to approximate , determine the number of turns that a wheel of diameter 30 cm makes in rolling a distance of 188.4 cm.

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