QUESTION IMAGE
Question
- if the circumference of a circle is 15.7 cm, what is its diameter?
Step1: Recall the formula for the circumference of a circle
The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter and \( \pi \) is approximately \( 3.14 \).
Step2: Solve for the diameter \( d \)
We know \( C = 15.7\space\text{cm} \) and \( \pi\approx3.14 \). From \( C=\pi d \), we can re - arrange the formula to solve for \( d \): \( d=\frac{C}{\pi} \).
Substitute \( C = 15.7\space\text{cm} \) and \( \pi = 3.14 \) into the formula: \( d=\frac{15.7}{3.14} \).
Calculate the value: \( \frac{15.7}{3.14}=5 \).
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The diameter of the circle is \( 5\space\text{cm} \).