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:
Where:
- is the circumference,
- is the diameter,
- is approximately 3.1416.
Given that the circumference cm, we can solve for as follows:
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:
- How do you calculate the radius if the diameter is known?
- What is the formula to find the area of a circle using the diameter?
- If the circumference were 30 cm, what would the diameter be?
- How does the value of affect the diameter calculation?
- 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