Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Circumference of a Circle

Sample Question Videos

Worksheet • 25 Questions • 5 Videos

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œ‹ , what is the diameter of a circle of circumference 125.6 cm?

Q4:

Using 3.14 to approximate πœ‹ and the fact that 𝐴 𝐡 𝐢 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œ‹ Γ— 𝑑 . If the diameter is the input and the circumference is the output, calculate the circumference when the diameter is 5.

  • A 𝑐 = πœ‹
  • B 𝑐 = 5 πœ‹
  • C 𝑐 = 1 0 πœ‹

Q6:

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

  • A 2 πœ‹ ∢ 1
  • B 1 ∢ πœ‹
  • C 1 ∢ 2 πœ‹
  • D πœ‹ ∢ 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œ‹ , 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œ‹ , 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œ‹ , 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œ‹ .

  • A 2 0 πœ‹
  • B 5 2 πœ‹
  • C 5 πœ‹
  • D 1 5 πœ‹
  • E 2 5 πœ‹

Q16:

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

Q17:

Using 3.14 to approximate πœ‹ , 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œ‹ .

Q19:

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

Q20:

What is the formula for the circumference of a circle with radius π‘Ÿ ?

  • A 2 πœ‹ π‘Ÿ
  • B 4 πœ‹ π‘Ÿ
  • C 8 πœ‹ π‘Ÿ
  • D πœ‹ π‘Ÿ

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 𝐢 = 2 πœ‹ π‘Ÿ . Find the circumference of a circle with a diameter of 12 in. Give your answer in terms of πœ‹ , knowing that the diameter is equal to 2 π‘Ÿ .

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

Q23:

The formula for the circumference of a circle is 𝐢 = 2 πœ‹ π‘Ÿ . Rearrange this formula to make πœ‹ the subject.

  • A πœ‹ = 𝐢 2 π‘Ÿ
  • B πœ‹ = 2 π‘Ÿ 𝐢
  • C πœ‹ = 𝐢 π‘Ÿ
  • D πœ‹ = 2 𝐢 π‘Ÿ
  • E πœ‹ = 2 𝐢 π‘Ÿ

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œ‹ by 3.14.

Preview