Worksheet: Circumference of a Circle

In this worksheet, we will practice finding the circumference of a circle using the formula 2πr and solving problems involving quarter circles and semicircles.

Q1:

Work out the circumference of the circle given that 𝑂𝐴=5, giving your answer accurate to two decimal places.

Q2:

Work out the circumference of the circle, giving your answer accurate to two decimal places.

Q3:

Using 3.14 to approximate 𝜋, what is the diameter of a circle of circumference 125.6 cm?

Q4:

Using 3.14 to approximate 𝜋 and the fact that 𝐴𝐵𝐶𝐷 is a square, calculate the perimeter of the shaded part.

Q5:

The circumference of a circle is a function of its diameter 𝑑 represented by the equation 𝑐=𝜋×𝑑. If the diameter is the input and the circumference is the output, calculate the circumference when the diameter is 5.

  • A𝑐=10𝜋
  • B𝑐=𝜋
  • C𝑐=5𝜋

Q6:

If the radius of a circle equals 13.8 cm, find the length of its longest chord.

Q7:

Find the circumference of a circle whose radius is 12.4 cm. Give your answer to the nearest centimeter.

Q8:

Using 227 to approximate 𝜋, what is the difference in circumference between a circle of radius 77 cm and one of radius 63 cm?

Q9:

Using 227 to approximate 𝜋, what is the difference in circumference between a circle of diameter 63 cm and one of diameter 49 cm?

Q10:

Using 3.14 to approximate 𝜋, what is the difference in circumference between a circle of diameter 100 cm and one of radius 15 cm?

Q11:

Work out the circumference of the circle, giving your answer accurate to two decimal places.

Q12:

Work out the circumference of the circle, giving your answer accurate to two decimal places.

Q13:

Work out the circumference of the circle, giving your answer accurate to two decimal places.

Q14:

The two circles shown in the diagram are concentric. Work out the circumference of the larger circle, giving your answer in terms of 𝜋.

  • A25𝜋
  • B52𝜋
  • C15𝜋
  • D20𝜋
  • E5𝜋

Q15:

What is the radius of a circle with circumference 78𝜋 cm?

Q16:

Using 3.14 to approximate 𝜋, determine the number of turns that a wheel of diameter 55 cm makes in rolling a distance of 345.4 cm.

Q17:

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

Q18:

Use 3.14 to approximate 𝜋 and calculate the circumference of the circle.

Q19:

What is the formula for the circumference of a circle with radius 𝑟?

  • A2𝜋𝑟
  • B4𝜋𝑟
  • C𝜋𝑟
  • D8𝜋𝑟

Q20:

Work out the circumference of a circle with a diameter of 10 inches, giving your answer to two decimal places.

Q21:

The formula for the circumference of a circle is 𝐶=2𝜋𝑟. Find the circumference of a circle with a diameter of 12 in. Give your answer in terms of 𝜋, knowing that the diameter is equal to 2𝑟.

  • A12𝜋 in
  • B24𝜋 in
  • C6𝜋 in
  • D48𝜋 in

Q22:

Find, to the nearest hundredth, the circumference of a circle of diameter 55.5 cm.

Q23:

The length of the longest chord in a circle is 40.3 cm. Find its circumference. You may approximate 𝜋 by 3.14.

Q24:

Using 3.14 to approximate 𝜋, what is the circumference of a circle of diameter 34 cm?

Q25:

Using 227 to approximate 𝜋, what is the circumference of a circle where half of the diameter is 56 cm?

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