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Worksheet: Circumference of a Circle

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:

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

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

Q6:

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

Q7:

Work out the circumference of the circle given that 𝐴 𝐡 = 1 3 . 3 , giving your answer accurate to two decimal places.

Q8:

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?

Q9:

Using 3.14 to approximate πœ‹ , what is the difference in circumference between a circle of radius 30 cm and one of radius 15 cm?

Q10:

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

Q11:

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

Q12:

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?

Q13:

Using 3.14 to approximate πœ‹ , what is the difference in circumference between a circle of diameter 80 cm and one of radius 15 cm?

Q14:

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

Q15:

Answer the following questions for the circle shown.

Work out the circumference giving your answer in terms of πœ‹ .

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

Work out the area of the circle giving your answer in terms of πœ‹ .

  • A 1 6 πœ‹
  • B 2 πœ‹
  • C 4 πœ‹
  • D 8 πœ‹
  • E 2 0 πœ‹

Q16:

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?

Q17:

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

Q18:

Using 3.14 to approximate πœ‹ , what is the circumference of a circle where half of the diameter is 40 cm?

Q19:

Use 2 2 7 in place of πœ‹ to decide: which is greater, the perimeter of a 9 cm by 17 cm rectangle or the circumference of a circle with radius 10 cm.

  • Athe perimeter of the circle
  • Bthe perimeter of the rectangle

Q20:

Use 2 2 7 in place of πœ‹ to decide: which is greater, the perimeter of a 5 cm by 10 cm rectangle or the circumference of a circle with radius 12 cm.

  • Athe perimeter of the circle
  • Bthe perimeter of the rectangle

Q21:

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

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

Q22:

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

Q23:

If the radius of a circle equals 22.4 cm, find the length of its longest chord.

Q24:

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

Q25:

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