Math Problem Statement

The circumference of the circle below is 27 cm. Work out the diameter of the circle. Give your answer in centimetres (cm) to 1 d.p.

Solution

To find the diameter of the circle given its circumference, we can use the formula for the circumference of a circle:

C=πdC = \pi d

Where:

  • CC is the circumference,
  • dd is the diameter,
  • π\pi is approximately 3.1416.

Given that the circumference C=27C = 27 cm, we can solve for dd as follows:

d=Cπ=273.14168.6cmd = \frac{C}{\pi} = \frac{27}{3.1416} \approx 8.6 \, \text{cm}

Thus, the diameter of the circle is approximately 8.6 cm to 1 decimal place.

Would you like further details on this calculation or have any questions?

Here are 5 related questions:

  1. How do you calculate the radius if the diameter is known?
  2. What is the formula to find the area of a circle using the diameter?
  3. If the circumference were 30 cm, what would the diameter be?
  4. How does the value of π\pi affect the diameter calculation?
  5. Can the circumference of a circle be a negative value?

Tip: Always remember that the diameter is twice the radius, so you can also calculate it if the radius is given!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference
Diameter

Formulas

C = πd
d = C/π

Theorems

Circumference formula for a circle

Suitable Grade Level

Grades 6-8