Worksheet: Circumference of a Circle

In this worksheet, we will practice finding the circumference of a circle using the formula 2πr.

Q1:

Work out the circumference of the circle given that 𝑂 𝐴 = 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 𝐴 𝐵 𝐶 𝐷 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.

  • A 𝑐 = 1 0 𝜋
  • B 𝑐 = 𝜋
  • C 𝑐 = 5 𝜋

Q6:

Write this ratio in its simplest form: The ratio of the circumference of a circle to its radius.

  • A 𝜋 1
  • B 1 𝜋
  • C 1 2 𝜋
  • D 2 𝜋 1

Q7:

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

Q8:

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

Q9:

Using 2 2 7 to approximate 𝜋 , what is the difference in circumference between a circle of radius 77 cm and one of radius 63 cm?

Q10:

Using 2 2 7 to approximate 𝜋 , what is the difference in circumference between a circle of diameter 63 cm and one of diameter 49 cm?

Q11:

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?

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:

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

Q15:

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

  • A 2 5 𝜋
  • B 5 𝜋
  • C 1 5 𝜋
  • D 2 0 𝜋
  • E 5 2 𝜋

Q16:

What is the radius of a circle with circumference 7 8 𝜋 cm?

Q17:

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.

Q18:

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

Q19:

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

Q20:

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

  • A 𝜋 𝑟
  • B 4 𝜋 𝑟
  • C 8 𝜋 𝑟
  • D 2 𝜋 𝑟

Q21:

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

Q22:

The formula for the circumference of a circle is 𝐶 = 2 𝜋 𝑟 . 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 2 𝑟 .

  • A 6 𝜋 in
  • B 2 4 𝜋 in
  • C 4 8 𝜋 in
  • D 1 2 𝜋 in

Q23:

The formula for the circumference of a circle is 𝐶 = 2 𝜋 𝑟 . Rearrange this formula to make 𝜋 the subject.

  • A 𝜋 = 2 𝐶 𝑟
  • B 𝜋 = 𝐶 𝑟
  • C 𝜋 = 2 𝐶 𝑟
  • D 𝜋 = 𝐶 2 𝑟
  • E 𝜋 = 2 𝑟 𝐶

Q24:

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

Q25:

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

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