Math Problem Statement
solve
The diameter of a circle measures 24 yd. What is the circumference of the circle? Use 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Solution
The problem asks to find the circumference of a circle, given that the diameter is 24 yards. The formula for the circumference of a circle is:
where is the diameter of the circle. Given:
- Diameter
- Use
Now, we substitute the values into the formula:
So, the circumference of the circle is 75.36 yards.
Would you like further details or have any other questions?
Here are 5 related questions to explore further:
- What is the formula for the area of a circle?
- How does the circumference change if the diameter is doubled?
- If the radius is given instead of the diameter, how would you calculate the circumference?
- What is the relationship between the diameter and the radius of a circle?
- How would you calculate the diameter if the circumference was given instead?
Tip: Remember, the diameter is always twice the radius, and circumference formulas can use either the radius or diameter.
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Math Problem Analysis
Mathematical Concepts
Geometry
Circles
Measurement
Formulas
C = π × d
Theorems
Circumference of a Circle
Suitable Grade Level
Grade 6-8