Rose Haynes
07/20/2024 · Middle School
A circle has a circumference of 400 units. What is the approximate diameter of the circle?
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Tutor-Verified Answer
Step-by-step Solution
To find the diameter of a circle given its circumference, we can use the formula:
\[ \text{Circumference} = \pi \times \text{Diameter} \]
Given that the circumference of the circle is 400 units, we can set up the equation:
\[ 400 = \pi \times \text{Diameter} \]
To find the diameter, we can rearrange the equation to solve for the diameter:
\[ \text{Diameter} = \frac{400}{\pi} \]
Now, we can calculate the approximate value of the diameter using the value of \( \pi \) as approximately 3.14159.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{400}{\pi }\)
The approximate diameter of the circle is 127.32 units.
Quick Answer
The diameter is approximately 127.32 units.
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